Simplify: (x+y)(x²-xy+y²)

1.	Simplify: (x+y)(x²-xy+y²)
Answer» 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

Answer»

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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Simplify: (x+y)(x²-xy+y²)​

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Simplify: (x+y)(x²-xy+y²)