Simplify: (x+y)(x²-xy+y²)
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Answer:
(x + y) (x2 -xy + y2 )
= x(x2 - xy + y2 ) + y(x2 - xy + y2 )
= ( x X x2 ) - (x X xy) + ( x X y2 ) + (y x X2 ) - ( y X xy) + (y x y2 )
= x3 - x2y + xy2 + yx2 - xy2 + y3
= x3 + (- x2y + x2y )+ (xy2 - xy2 )+ y3
= x3 + 0 + 0 + y3 = x3 + y3
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the simplified answer will be
x^3+y^3
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