Question

simplify（x+y）（x2-xy+y2）​

Answer 1

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$\: \: \: \: \: \mathtt{(x + y)(x {}^{2} - xy + y {}^{2} )} \\ \\ \mathtt{ = x(x {}^{2} - xy + y {}^{2}) + y(x {}^{2} - xy + y {}^{2}) } \\ \\ \mathtt{ = x {}^{3} - x {}^{2} y + xy {}^{2} + x {}^{2}y - xy {}^{2} + y {}^{3} } \\ \\ \mathtt{ = x {}^{3} + \cancel{x {}^{2}y} - \cancel{x {}^{2} y }+ \cancel{xy {}^{2}} - \cancel{xy {}^{2}} + y {}^{3} } \\ \\ \mathtt{ = x {}^{3} + y {}^{3} }$