Question

x^4 - ( x - y )^4 factorise​

Answer 1

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$\small\boxed{Given: x⁴-(x-y)⁴}$

$x⁴-(x-y)⁴$

$= (x²)²-[(x-y)²]²$

$= [x²+(x-y)²][x²-(x-y)²]$

$Algebraic\: identity: a²-b² = (a+b)(a-b)$

$= [x²+(x-y)²][x+(x-y)][x-(x-y)]$

$= [x²+(x-y)²][x+x-y)][x-x+ y)]$

$= [x²+(x-y)²](2x-y)y$

Answer 2

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$[x²+(x-y)²] \: (2x-y)y$