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advanced grouping MCQ Questions for Class 9

advanced grouping se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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Question 1/2 Expert Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 70

\(x^2+5x+6-y^2-5y\) को गुणनखंडित कीजिए।

Factorise \(x^2+5x+6-y^2-5y\).

Explanation opens after your attempt
Correct Answer

A. ((x-y+2)(x+y+3))

Step 1

Concept

Treat it as (\(x^2-y^2\)+5(x-y)+6) and use (u=x-y). In exams, keep the remaining (x+y) term carefully.

Step 2

Why this answer is correct

The correct answer is A. ((x-y+2)(x+y+3)). Treat it as (\(x^2-y^2\)+5(x-y)+6) and use (u=x-y). In exams, keep the remaining (x+y) term carefully.

Step 3

Exam Tip

इसे (\(x^2-y^2\)+5(x-y)+6) मानें और (u=x-y) रखें। परीक्षा में (x+y) वाला बचा पद ध्यान से रखें।

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Question 2/2 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 69

\(9a^2-16b^2+6a-8b\) में कौन सा गुणनखंडन सही है?

Which factorisation is correct for \(9a^2-16b^2+6a-8b\)?

Explanation opens after your attempt
Correct Answer

B. ((3a-4b)(3a+4b+2))

Step 1

Concept

By grouping write ((3a-4b)(3a+4b)+2(3a-4b)). Take common ((3a-4b)).

Step 2

Why this answer is correct

The correct answer is B. ((3a-4b)(3a+4b+2)). By grouping write ((3a-4b)(3a+4b)+2(3a-4b)). Take common ((3a-4b)).

Step 3

Exam Tip

समूह बनाकर ((3a-4b)(3a+4b)+2(3a-4b)) लिख सकते हैं। समान ((3a-4b)) निकालें।

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