Math, asked by pushkarjai, 10 months ago

the value of (X+y) (x² - xy +y²) is

Answers

Answered by dendukurijayalakshi
19

x³-x²y+xy²+x²y-xy²+y³

=x³+y³

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Answered by mysticd
11

 \red{ The \: value \: of \: (x+y)(x^{2}-xy+y^{2})}

 = x(x^{2}-xy+y^{2}) + y(x^{2}-xy+y^{2})

 = x^{3} -\cancel{ x^{2}y} +\cancel { xy^{2}} +\cancel {x^{2}y} - \cancel {xy^{2}}+y^{3}

 = x^{3} + y^{3}

Therefore.,

 \red{ The \: value \: of \: (x+y)(x^{2}-xy+y^{2})}

 \green { = x^{3} + y^{3}}

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