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compound square MCQ Questions for Class 9

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

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3 questions tagged with compound square.

Question 1/3 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 71

\(x^4-2x^2y^2+y^4-z^2\) का गुणनखंड रूप क्या है?

What is the factorised form of \(x^4-2x^2y^2+y^4-z^2\)?

Explanation opens after your attempt
Correct Answer

C. ( \(x^2-y^2-z\)\(x^2-y^2+z\) )

Step 1

Concept

First write \(x^4-2x^2y^2+y^4\) as (\(x^2-y^2\)2). Exam tip: treat the compound part as one unit.

Step 2

Why this answer is correct

The correct answer is C. ( \(x^2-y^2-z\)\(x^2-y^2+z\) ). First write \(x^4-2x^2y^2+y^4\) as (\(x^2-y^2\)2). Exam tip: treat the compound part as one unit.

Step 3

Exam Tip

पहले \(x^4-2x^2y^2+y^4\) को (\(x^2-y^2\)2) लिखें। परीक्षा में संयुक्त पद को एक इकाई की तरह लें।

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Question 2/3 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 71

\(x^4+4y^4+4x^2y^2-z^2\) का गुणनखंड रूप क्या है?

What is the factorised form of \(x^4+4y^4+4x^2y^2-z^2\)?

Explanation opens after your attempt
Correct Answer

A. ( \(x^2+2y^2-z\)\(x^2+2y^2+z\) )

Step 1

Concept

First write \(x^4+4x^2y^2+4y^4\) as (\(x^2+2y^2\)2). Exam tip: arranging the terms correctly helps.

Step 2

Why this answer is correct

The correct answer is A. ( \(x^2+2y^2-z\)\(x^2+2y^2+z\) ). First write \(x^4+4x^2y^2+4y^4\) as (\(x^2+2y^2\)2). Exam tip: arranging the terms correctly helps.

Step 3

Exam Tip

पहले \(x^4+4x^2y^2+4y^4\) को (\(x^2+2y^2\)2) बनाएं। परीक्षा में पदों को सही क्रम में लगाना मदद करता है।

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Question 3/3 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 71

\(x^4+2x^2y^2+y^4-16z^4\) का गुणनखंड रूप क्या है?

What is the factorised form of \(x^4+2x^2y^2+y^4-16z^4\)?

Explanation opens after your attempt
Correct Answer

A. ( \(x^2+y^2-4z^2\)\(x^2+y^2+4z^2\) )

Step 1

Concept

First write \(x^4+2x^2y^2+y^4\) as (\(x^2+y^2\)2). Exam tip: treat larger expressions as one combined square.

Step 2

Why this answer is correct

The correct answer is A. ( \(x^2+y^2-4z^2\)\(x^2+y^2+4z^2\) ). First write \(x^4+2x^2y^2+y^4\) as (\(x^2+y^2\)2). Exam tip: treat larger expressions as one combined square.

Step 3

Exam Tip

पहले \(x^4+2x^2y^2+y^4\) को (\(x^2+y^2\)2) बनाएं। परीक्षा में बड़े पदों को एक संयुक्त वर्ग मानें।

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