Question

Factorise x^4 - (x-y) ^4 step by step please explain in copy. ​

Answer 1

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x² - ( x - y )⁴

= {x²+(x+y)²}{x²-(x-y)²}

= (x²+x²+2xy+y²)(x+x+y)(x-x+y)

= (2x²+2xy+y²)(2x-y)(y)

= (2x²+2xy+y²)(2xy-y²)