Factorise: x^4 + 2x^3y - 2xy^3 – y^4
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(x)⁴+2x³y-2xy³-(y)⁴
=(x²)²-(y²)²+2x³y-2xy³
=(x²+y²)(x²-y²)+2xy(x²-y²)
=(x²+y²+2xy)(x²-y²)
=(x+y)²(x-y)(x+y)
=(x+y)(x+y)(x+y)(x-y)
=(x-y)(x+y)³
Hope it helps
=(x²)²-(y²)²+2x³y-2xy³
=(x²+y²)(x²-y²)+2xy(x²-y²)
=(x²+y²+2xy)(x²-y²)
=(x+y)²(x-y)(x+y)
=(x+y)(x+y)(x+y)(x-y)
=(x-y)(x+y)³
Hope it helps
meetuverma577:
thanks
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