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common bracket MCQ Questions for Class 9

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

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4 questions tagged with common bracket.

Question 1/4 Expert Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 71

\(x^2+5xy+6y^2-4x-12y\) को गुणनखंडित करने पर सही रूप क्या है?

What is the correct factorised form of \(x^2+5xy+6y^2-4x-12y\)?

Explanation opens after your attempt
Correct Answer

A. ((x+2y)(x+3y-4))

Step 1

Concept

Grouping gives (x(x+3y-4)+2y(x+3y-4)). Exam tip: first make groups that produce a common bracket.

Step 2

Why this answer is correct

The correct answer is A. ((x+2y)(x+3y-4)). Grouping gives (x(x+3y-4)+2y(x+3y-4)). Exam tip: first make groups that produce a common bracket.

Step 3

Exam Tip

समूह बनाने पर (x(x+3y-4)+2y(x+3y-4)) मिलता है। परीक्षा में पहले ऐसे समूह बनाएं जिनमें समान कोष्ठक आए।

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Question 2/4 Expert Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 71

\(a^2+ab+ac+bc\) को गुणनखंडों में लिखिए।

Write \(a^2+ab+ac+bc\) in factors.

Explanation opens after your attempt
Correct Answer

A. ((a+b)(a+c))

Step 1

Concept

Grouping gives (a(a+b)+c(a+b)), so the factor is ((a+b)(a+c)). Exam tip: learn grouping in four-term expressions.

Step 2

Why this answer is correct

The correct answer is A. ((a+b)(a+c)). Grouping gives (a(a+b)+c(a+b)), so the factor is ((a+b)(a+c)). Exam tip: learn grouping in four-term expressions.

Step 3

Exam Tip

समूह (a(a+b)+c(a+b)) बनता है इसलिए ((a+b)(a+c)) मिलता है। परीक्षा में चार पदों में समूह बनाना सीखें।

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Question 3/4 Expert Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 71

(2xy+6x+5y+15) को समूह बनाकर गुणनखंडित कीजिए।

Factorise (2xy+6x+5y+15) by grouping.

Explanation opens after your attempt
Correct Answer

B. ((2x+5)(y+3))

Step 1

Concept

Grouping gives (2x(y+3)+5(y+3)), so the factor is ((2x+5)(y+3)). Exam tip: look for a common bracket.

Step 2

Why this answer is correct

The correct answer is B. ((2x+5)(y+3)). Grouping gives (2x(y+3)+5(y+3)), so the factor is ((2x+5)(y+3)). Exam tip: look for a common bracket.

Step 3

Exam Tip

समूह (2x(y+3)+5(y+3)) बनता है इसलिए ((2x+5)(y+3)) मिलता है। परीक्षा में समान कोष्ठक खोजें।

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Question 4/4 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 70

(3xy-6x+5y-10) को समूह बनाकर गुणनखंडित करें।

Factorise (3xy-6x+5y-10) by grouping.

Explanation opens after your attempt
Correct Answer

A. ((3x+5)(y-2))

Step 1

Concept

(3x(y-2)+5(y-2)) gives the common bracket ((y-2)). Exam tip: keep grouping order correct.

Step 2

Why this answer is correct

The correct answer is A. ((3x+5)(y-2)). (3x(y-2)+5(y-2)) gives the common bracket ((y-2)). Exam tip: keep grouping order correct.

Step 3

Exam Tip

(3x(y-2)+5(y-2)) से समान कोष्ठक ((y-2)) बाहर आता है। परीक्षा में समूहों का क्रम सही रखें।

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