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identity comparison MCQ Questions for Class 9

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5 questions tagged with identity comparison.

Question 1/5 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (x+3)2-(x-1)(x+7) ) का सरल रूप क्या है?

What is the simplified form of ( (x+3)2-(x-1)(x+7) )?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

The first is \(x^2+6x+9\) and the second is \(x^2+6x-7\). Subtracting gives (9-(-7)=16), so the correct option should be (16).

Step 2

Why this answer is correct

The correct answer is B. (4). The first is \(x^2+6x+9\) and the second is \(x^2+6x-7\). Subtracting gives (9-(-7)=16), so the correct option should be (16).

Step 3

Exam Tip

पहला \(x^2+6x+9\) और दूसरा \(x^2+6x-7\) है। घटाने पर (16) नहीं बल्कि (9-(-7)=16) होगा इसलिए सही विकल्प (16) होना चाहिए।

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Question 2/5 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

( (a+b)2-\(a^2-b^2\) ) का सरल रूप क्या है?

What is the simplified form of ( (a+b)2-\(a^2-b^2\) )?

Explanation opens after your attempt
Correct Answer

A. \(2ab+2b^2\)

Step 1

Concept

\(a^2+2ab+b^2-a^2+b^2=2ab+2b^2\). Exam tip: apply the minus sign to the whole second expression.

Step 2

Why this answer is correct

The correct answer is A. \(2ab+2b^2\). \(a^2+2ab+b^2-a^2+b^2=2ab+2b^2\). Exam tip: apply the minus sign to the whole second expression.

Step 3

Exam Tip

\(a^2+2ab+b^2-a^2+b^2=2ab+2b^2\)। परीक्षा में ऋण चिन्ह को पूरे दूसरे पद पर लगाएँ।

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Question 3/5 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (x+5)(x-5) ) और ( (x-5)2 ) में क्या मुख्य अंतर है?

What is the main difference between ( (x+5)(x-5) ) and ( (x-5)2 )?

Explanation opens after your attempt
Correct Answer

A. पहला \(x^2-25\) है और दूसरा \(x^2-10x+25\) हैThe first is \(x^2-25\) and the second is \(x^2-10x+25\)

Step 1

Concept

In opposite-sign product mixed terms cancel but in a square the middle term remains. Exam tip: do not mix the two forms.

Step 2

Why this answer is correct

The correct answer is A. पहला \(x^2-25\) है और दूसरा \(x^2-10x+25\) है / The first is \(x^2-25\) and the second is \(x^2-10x+25\). In opposite-sign product mixed terms cancel but in a square the middle term remains. Exam tip: do not mix the two forms.

Step 3

Exam Tip

विपरीत चिन्ह वाले गुणन में मिश्र पद कटता है पर वर्ग में मध्य पद रहता है। परीक्षा में दोनों रूपों को न मिलाएँ।

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Question 4/5 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

( (a-b)2 ) और \(a^2-b^2\) का अंतर क्या है?

What is the difference between ( (a-b)2 ) and \(a^2-b^2\)?

Explanation opens after your attempt
Correct Answer

A. \(2b^2-2ab\)

Step 1

Concept

( (a-b)2=a-2-2ab+b-2 ), so subtracting \(a^2-b^2\) gives \(2b^2-2ab\). Exam tip: keep both identities separate.

Step 2

Why this answer is correct

The correct answer is A. \(2b^2-2ab\). ( (a-b)2=a-2-2ab+b-2 ), so subtracting \(a^2-b^2\) gives \(2b^2-2ab\). Exam tip: keep both identities separate.

Step 3

Exam Tip

( (a-b)2=a-2-2ab+b-2 ) है इसलिए \(a^2-b^2\) घटाने पर \(2b^2-2ab\) मिलता है। परीक्षा में दोनों पहचान अलग रखें।

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Question 5/5 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

( (a+b)2-(a-b)2 ) का सरल रूप क्या है?

What is the simplified form of ( (a+b)2-(a-b)2 )?

Explanation opens after your attempt
Correct Answer

B. (4ab)

Step 1

Concept

After subtracting both expansions, (4ab) remains. Exam tip: expand first and cancel like terms.

Step 2

Why this answer is correct

The correct answer is B. (4ab). After subtracting both expansions, (4ab) remains. Exam tip: expand first and cancel like terms.

Step 3

Exam Tip

दोनों विस्तार घटाने पर (4ab) बचता है। परीक्षा में पहले विस्तार करके समान पद काटें।

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