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product_expansion MCQ Questions for Class 9

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8 questions tagged with product_expansion.

Question 1/8 Medium Mathematics Exploring Algebraic Identities Quadratic expressions Class 9 Level 73

((x+3)(x+2)) का विस्तार कौन सा है?

Which is the expansion of ((x+3)(x+2))?

Explanation opens after your attempt
Correct Answer

C. \(x^2+5x+6\)

Step 1

Concept

Multiplying gives \(x^2+2x+3x+6=x^2+5x+6\). Exam tip: combine like terms.

Step 2

Why this answer is correct

The correct answer is C. \(x^2+5x+6\). Multiplying gives \(x^2+2x+3x+6=x^2+5x+6\). Exam tip: combine like terms.

Step 3

Exam Tip

गुणा करने पर \(x^2+2x+3x+6=x^2+5x+6\) मिलता है। परीक्षा में समान पद जोड़ें।

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Question 2/8 Medium Mathematics Exploring Algebraic Identities Visual models of identities Class 9 Level 69

एक आयत की भुजाएँ (p+4) और (p+7) हैं। क्षेत्रफल मॉडल से सरल रूप क्या होगा?

A rectangle has sides (p+4) and (p+7). What simplified form comes from the area model?

Explanation opens after your attempt
Correct Answer

A. \(p^2+11p+28\)

Step 1

Concept

The parts are \(p^2\), (4p), (7p), and (28). In exams, add the linear terms.

Step 2

Why this answer is correct

The correct answer is A. \(p^2+11p+28\). The parts are \(p^2\), (4p), (7p), and (28). In exams, add the linear terms.

Step 3

Exam Tip

भाग \(p^2\), (4p), (7p) और (28) हैं। परीक्षा में रैखिक पद जोड़ें।

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Question 3/8 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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Question 4/8 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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Question 5/8 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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Question 6/8 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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Question 7/8 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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Question 8/8 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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