\(x^3+y^3+x^2y+xy^2\) का गुणनखंड रूप क्या है?

What is the factorised form of \(x^3+y^3+x^2y+xy^2\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

B. ((x+y)\(x^2+xy+y^2\))

Step 1

Concept

Grouping all terms gives a common factor like (x-2(x+y)+y-2(x+y)+xy(x+y)). Exam tip: take ((x+y)) common and add the remaining terms.

Step 2

Why this answer is correct

The correct answer is B. ((x+y)\(x^2+xy+y^2\)). Grouping all terms gives a common factor like (x-2(x+y)+y-2(x+y)+xy(x+y)). Exam tip: take ((x+y)) common and add the remaining terms.

Step 3

Exam Tip

सभी पदों को समूहित करने पर (x-2(x+y)+y-2(x+y)+xy(x+y)) जैसा समान गुणनखंड बनता है। परीक्षा में ((x+y)) सामान्य लेकर शेष पद जोड़ें।

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Mathematics Answer, Explanation and Revision Hints

\(x^3+y^3+x^2y+xy^2\) का गुणनखंड रूप क्या है? / What is the factorised form of \(x^3+y^3+x^2y+xy^2\)?

Correct Answer: B. ((x+y)\(x^2+xy+y^2\)). Explanation: सभी पदों को समूहित करने पर (x-2(x+y)+y-2(x+y)+xy(x+y)) जैसा समान गुणनखंड बनता है। परीक्षा में ((x+y)) सामान्य लेकर शेष पद जोड़ें। / Grouping all terms gives a common factor like (x-2(x+y)+y-2(x+y)+xy(x+y)). Exam tip: take ((x+y)) common and add the remaining terms.

Which concept should I revise for this Mathematics MCQ?

Grouping all terms gives a common factor like (x-2(x+y)+y-2(x+y)+xy(x+y)). Exam tip: take ((x+y)) common and add the remaining terms.

What exam hint can help solve this Mathematics question?

सभी पदों को समूहित करने पर (x-2(x+y)+y-2(x+y)+xy(x+y)) जैसा समान गुणनखंड बनता है। परीक्षा में ((x+y)) सामान्य लेकर शेष पद जोड़ें।