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complete factorisation MCQ Questions for Class 9

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34 questions tagged with complete factorisation.

Question 31/34 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 69

\(a^4-b^4\) का पूर्ण गुणनखंडन कौन सा है?

Which is the complete factorisation of \(a^4-b^4\)?

Explanation opens after your attempt
Correct Answer

B. ((a-b)(a+b)\(a^2+b^2\))

Step 1

Concept

First write (a-4-b-4=\(a^2-b^2\)\(a^2+b^2\)). Then split (a-2-b-2=(a-b)(a+b)) too.

Step 2

Why this answer is correct

The correct answer is B. ((a-b)(a+b)\(a^2+b^2\)). First write (a-4-b-4=\(a^2-b^2\)\(a^2+b^2\)). Then split (a-2-b-2=(a-b)(a+b)) too.

Step 3

Exam Tip

पहले (a-4-b-4=\(a^2-b^2\)\(a^2+b^2\)) करें। फिर (a-2-b-2=(a-b)(a+b)) भी तोड़ें।

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Question 32/34 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 69

\(12x^2-27y^2\) का पूर्ण गुणनखंडन क्या है?

What is the complete factorisation of \(12x^2-27y^2\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

First take (3) common and split \(4x^2-9y^2\) by difference of squares. Exam tip: fully factorise the final answer.

Step 2

Why this answer is correct

The correct answer is A. (3(2x-3y)(2x+3y)). First take (3) common and split \(4x^2-9y^2\) by difference of squares. Exam tip: fully factorise the final answer.

Step 3

Exam Tip

पहले (3) समान निकालें और \(4x^2-9y^2\) को वर्गों के अंतर से तोड़ें। परीक्षा में अंतिम उत्तर को पूर्ण गुणनखंडित करें।

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Question 33/34 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 69

\(3a^2-12b^2\) का पूर्ण गुणनखंडन क्या है?

What is the complete factorisation of \(3a^2-12b^2\)?

Explanation opens after your attempt
Correct Answer

C. (3(a-2b)(a+2b))

Step 1

Concept

First take (3) common and split \(a^2-4b^2\) by difference of squares. Exam tip: check further factorisation after taking common factor.

Step 2

Why this answer is correct

The correct answer is C. (3(a-2b)(a+2b)). First take (3) common and split \(a^2-4b^2\) by difference of squares. Exam tip: check further factorisation after taking common factor.

Step 3

Exam Tip

पहले (3) समान निकालें और \(a^2-4b^2\) को वर्गों के अंतर से तोड़ें। परीक्षा में समान गुणनखंड निकालने के बाद भी आगे जांचें।

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Question 34/34 Easy Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 74

\(3x^2+6x+3\) का पूर्ण गुणनखंडन क्या है?

What is the complete factorisation of \(3x^2+6x+3\)?

Explanation opens after your attempt
Correct Answer

A. (3(x+1)2)

Step 1

Concept

First take (3) common and write (x-2+2x+1=(x+1)2). Exam tip: continue until complete factorisation.

Step 2

Why this answer is correct

The correct answer is A. (3(x+1)2). First take (3) common and write (x-2+2x+1=(x+1)2). Exam tip: continue until complete factorisation.

Step 3

Exam Tip

पहले (3) समान निकालें और (x-2+2x+1=(x+1)2) लिखें। परीक्षा में पूर्ण गुणनखंडन तक रुकें नहीं।

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