Question

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2. Prove that x y = ( x- y) ( x + xy + y)​

Answer 1

Answer:

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Answer 2

Answer:

$(x - y)(x + xy + y) \\ (x {}^{2} + x {}^{2} y + xy) - (xy + xy {}^{2} + y {}^{2} ) \\ x {}^{2} + x {}^{2} y + xy - xy - xy {}^{2} - y {}^{2} \\ x {}^{2} - y {}^{2} + x {}^{2} y - xy {}^{2} \\ x {}^{2} + y {}^{2} + xy(x - y)$