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= (X -Y)(X+Y)(X²+Y²) - (X-Y)(X+Y)³
= (X - Y) [X³ + XY² + X²Y + Y³ - (X³+Y³+3X²Y+3XY²) ]
= (X - Y) [- (2X²Y+2XY²)]
= -2 XY(X - Y)(X + Y)
= (X - Y) [X³ + XY² + X²Y + Y³ - (X³+Y³+3X²Y+3XY²) ]
= (X - Y) [- (2X²Y+2XY²)]
= -2 XY(X - Y)(X + Y)
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x4-y4-(x-y)(x+y)3
=(x2+y2)(x-y)(x+y)-(x-y)(x+y)3
=(x-y)(x+y)(x2+y2-x2-2xy-y2)
=-2xy(x-y)(x+y)
=(x2+y2)(x-y)(x+y)-(x-y)(x+y)3
=(x-y)(x+y)(x2+y2-x2-2xy-y2)
=-2xy(x-y)(x+y)
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-2xy(x-y)(x+y)
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