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Algebra practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.

Question language / प्रश्न भाषा

Question (x + y) + (x^3 − y^3) (x + y) + (x^3 − y^3) (x − y)

प्रश्न: Simplify: (x^3 + y^3) (x − y) सरल कीजिए: (x^3 + y^3)

Answer and explanation are free to read — no sign-in required.उत्तर और व्याख्या पढ़ने के लिए साइन-इन आवश्यक नहीं है।

A

2x^2 / 2x^2

B

2x^2 + 2y^2 / 2x^2 + 2y^2

✓

C

2x^2 + y^2 / 2x^2 + y^2

D

x^2 + 2y^2 / x^2 + 2y^2

Correct Answerसही उत्तर

B. 2x^2 + 2y^2 / 2x^2 + 2y^2

Explanationव्याख्या

(x^3 + y^3)
(x + y) = x^2 − xy + y^2 and (x^3 − y^3)
(x − y) = x^2 + xy + y^2 Adding, = 2x^2 + 2y^2.

पहला पद = x^2 − xy + y^2 और दूसरा पद = x^2 + xy + y^2.
दोनों को जोड़ने पर = 2x^2 + 2y^2.

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