Class 9 product expansion MCQ Questions

Question 1/6 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

यदि ( (x-4)(x+k)=x^-2+3x-28 ) है तो (k) का मान क्या है?

If ( (x-4)(x+k)=x^-2+3x-28 ), what is the value of (k)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The constant term (-4k=-28) gives (k=7), and the middle term also becomes (3x). Exam tip: verify using both conditions.

Step 2

Why this answer is correct

The correct answer is C. (7). The constant term (-4k=-28) gives (k=7), and the middle term also becomes (3x). Exam tip: verify using both conditions.

Step 3

Exam Tip

स्थिर पद (-4k=-28) से (k=7) मिलता है और मध्य पद भी (3x) बनता है। परीक्षा में दोनों शर्तों से जाँच करें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Expert
Level: 63

Question Hindi:
यदि ( (x-4)(x+k)=x^2+3x-28 ) है तो (k) का मान क्या है?

Question English:
If ( (x-4)(x+k)=x^2+3x-28 ), what is the value of (k)?

Options:
A. (4)
B. (5)
C. (7)
D. (9)

Correct Answer:
C. (7)

Explanation Hindi:
स्थिर पद (-4k=-28) से (k=7) मिलता है और मध्य पद भी (3x) बनता है। परीक्षा में दोनों शर्तों से जाँच करें।

Explanation English:
The constant term (-4k=-28) gives (k=7), and the middle term also becomes (3x). Exam tip: verify using both conditions.

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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question 2/6 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (x+1)(x+2)(x+3) ) में पहले ( (x+1)(x+3) ) लगाने पर कौन-सा रूप मिलेगा?

When first applying ( (x+1)(x+3) ) in ( (x+1)(x+2)(x+3) ), what form is obtained?

Explanation opens after your attempt

Correct Answer

A. \(x^2+4x+3\)सही आंशिक विस्तार

Step 1

Concept

( (x+1)(x+3)=x^-2+4x+3 ). Exam tip: expand long expressions in small steps.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+4x+3\) / सही आंशिक विस्तार. ( (x+1)(x+3)=x^-2+4x+3 ). Exam tip: expand long expressions in small steps.

Step 3

Exam Tip

( (x+1)(x+3)=x^-2+4x+3 ) है। परीक्षा में लंबी अभिव्यक्ति को छोटे चरणों में फैलाएँ।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Hard
Level: 63

Question Hindi:
( (x+1)(x+2)(x+3) ) में पहले ( (x+1)(x+3) ) लगाने पर कौन-सा रूप मिलेगा?

Question English:
When first applying ( (x+1)(x+3) ) in ( (x+1)(x+2)(x+3) ), what form is obtained?

Options:
A. (x^2+4x+3) / सही आंशिक विस्तार
B. (x^2+2x+3) / मध्य पद गलत
C. (x^2-4x+3) / चिह्न गलत
D. (x^3+6) / पूरा विस्तार नहीं

Correct Answer:
A. (x^2+4x+3) / सही आंशिक विस्तार

Explanation Hindi:
( (x+1)(x+3)=x^2+4x+3 ) है। परीक्षा में लंबी अभिव्यक्ति को छोटे चरणों में फैलाएँ।

Explanation English:
( (x+1)(x+3)=x^2+4x+3 ). Exam tip: expand long expressions in small steps.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question 3/6 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (x+4)(x-9) ) का विस्तार कौन सा है?

Which is the expansion of ( (x+4)(x-9) )?

Explanation opens after your attempt

Correct Answer

A. \(x^2-5x-36\)

Step 1

Concept

(4+(-9)=-5) and \(4\times(-9)=-36\). Exam tip: add signs carefully.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-5x-36\). (4+(-9)=-5) and \(4\times(-9)=-36\). Exam tip: add signs carefully.

Step 3

Exam Tip

(4+(-9)=-5) और \(4\times(-9)=-36\)। परीक्षा में चिन्हों को ध्यान से जोड़ें।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Exploring Algebraic Identities
Topic: Algebraic identities
Difficulty: Medium
Level: 64

Question Hindi:
( (x+4)(x-9) ) का विस्तार कौन सा है?

Question English:
Which is the expansion of ( (x+4)(x-9) )?

Options:
A. (x^2-5x-36)
B. (x^2+5x-36)
C. (x^2-13x-36)
D. (x^2+36x-5)

Correct Answer:
A. (x^2-5x-36)

Explanation Hindi:
(4+(-9)=-5) और (4\times(-9)=-36)। परीक्षा में चिन्हों को ध्यान से जोड़ें।

Explanation English:
(4+(-9)=-5) and (4\times(-9)=-36). Exam tip: add signs carefully.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question 4/6 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (3x(4x-5)-2x(5x+1)) का सरल रूप क्या है?

What is the simplified form of (3x(4x-5)-2x(5x+1))?

Explanation opens after your attempt

Correct Answer

B. \(2x^2-17x\)

Step 1

Concept

Expanding gives \(12x^2-15x-10x^2-2x=2x^2-17x\). Do each multiplication separately.

Step 2

Why this answer is correct

The correct answer is B. \(2x^2-17x\). Expanding gives \(12x^2-15x-10x^2-2x=2x^2-17x\). Do each multiplication separately.

Step 3

Exam Tip

खोलने पर \(12x^2-15x-10x^2-2x=2x^2-17x\) मिलता है। हर गुणन को अलग से करें।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Algebraic expressions
Difficulty: Hard
Level: 25

Question Hindi:
व्यंजक (3x(4x-5)-2x(5x+1)) का सरल रूप क्या है?

Question English:
What is the simplified form of (3x(4x-5)-2x(5x+1))?

Options:
A. (22x^2-13x)
B. (2x^2-17x)
C. (22x^2-17x)
D. (2x^2-13x)

Correct Answer:
B. (2x^2-17x)

Explanation Hindi:
खोलने पर (12x^2-15x-10x^2-2x=2x^2-17x) मिलता है। हर गुणन को अलग से करें।

Explanation English:
Expanding gives (12x^2-15x-10x^2-2x=2x^2-17x). Do each multiplication separately.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

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Question 5/6 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (2x(5x-3)-3x(2x+1)) का सरल रूप क्या है?

What is the simplified form of (2x(5x-3)-3x(2x+1))?

Explanation opens after your attempt

Correct Answer

A. \(4x^2-9x\)

Step 1

Concept

Expanding gives \(10x^2-6x-6x^2-3x=4x^2-9x\). Do each multiplication separately.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2-9x\). Expanding gives \(10x^2-6x-6x^2-3x=4x^2-9x\). Do each multiplication separately.

Step 3

Exam Tip

खोलने पर \(10x^2-6x-6x^2-3x=4x^2-9x\) मिलता है। हर गुणन को अलग से करें।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Algebraic expressions
Difficulty: Hard
Level: 24

Question Hindi:
व्यंजक (2x(5x-3)-3x(2x+1)) का सरल रूप क्या है?

Question English:
What is the simplified form of (2x(5x-3)-3x(2x+1))?

Options:
A. (4x^2-9x)
B. (16x^2-3x)
C. (4x^2+9x)
D. (16x^2-9x)

Correct Answer:
A. (4x^2-9x)

Explanation Hindi:
खोलने पर (10x^2-6x-6x^2-3x=4x^2-9x) मिलता है। हर गुणन को अलग से करें।

Explanation English:
Expanding gives (10x^2-6x-6x^2-3x=4x^2-9x). Do each multiplication separately.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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- Add light background music, low volume.
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- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

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Question 6/6 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2x(3x+1)-x(4x-5)) का सरल रूप क्या है?

What is the simplified form of (2x(3x+1)-x(4x-5))?

Explanation opens after your attempt

Correct Answer

A. \(2x^2+7x\)

Step 1

Concept

Expanding gives \(6x^2+2x-4x^2+5x=2x^2+7x\). Expand each bracket separately.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+7x\). Expanding gives \(6x^2+2x-4x^2+5x=2x^2+7x\). Expand each bracket separately.

Step 3

Exam Tip

खोलने पर \(6x^2+2x-4x^2+5x=2x^2+7x\) मिलता है। हर कोष्ठक को अलग से खोलें।

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AI Video Prompt 16:9 + 9:16

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- Name: Muft Shiksha
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Question Page:
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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Algebraic expressions
Difficulty: Hard
Level: 23

Question Hindi:
व्यंजक (2x(3x+1)-x(4x-5)) का सरल रूप क्या है?

Question English:
What is the simplified form of (2x(3x+1)-x(4x-5))?

Options:
A. (2x^2+7x)
B. (10x^2-3x)
C. (2x^2-3x)
D. (10x^2+7x)

Correct Answer:
A. (2x^2+7x)

Explanation Hindi:
खोलने पर (6x^2+2x-4x^2+5x=2x^2+7x) मिलता है। हर कोष्ठक को अलग से खोलें।

Explanation English:
Expanding gives (6x^2+2x-4x^2+5x=2x^2+7x). Expand each bracket separately.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
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product_expansion MCQ Questions for Class 9

Practice Questions

यदि ( (x-4)(x+k)=x^-2+3x-28 ) है तो (k) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

( (x+1)(x+2)(x+3) ) में पहले ( (x+1)(x+3) ) लगाने पर कौन-सा रूप मिलेगा?

Concept

Why this answer is correct

Exam Tip

( (x+4)(x-9) ) का विस्तार कौन सा है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (3x(4x-5)-2x(5x+1)) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (2x(5x-3)-3x(2x+1)) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (2x(3x+1)-x(4x-5)) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

product_expansion Revision Links

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product_expansion MCQ Questions for Class 9

Practice Questions

यदि ( (x-4)(x+k)=x-2+3x-28 ) है तो (k) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

( (x+1)(x+2)(x+3) ) में पहले ( (x+1)(x+3) ) लगाने पर कौन-सा रूप मिलेगा?

Concept

Why this answer is correct

Exam Tip

( (x+4)(x-9) ) का विस्तार कौन सा है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (3x(4x-5)-2x(5x+1)) का सरल रूप क्या है?

Concept

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व्यंजक (2x(5x-3)-3x(2x+1)) का सरल रूप क्या है?

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व्यंजक (2x(3x+1)-x(4x-5)) का सरल रूप क्या है?

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यदि ( (x-4)(x+k)=x^-2+3x-28 ) है तो (k) का मान क्या है?