Question

Factorise: x4 - (y+z)4
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Answer 1

Answer:

    x4−(y+z)4

=(x2)2−{(y+z)2}2

=(x2+(y+z)2)(x2−(y+z)2)

=(x2+(y+z)2)(x+y+z)(x−y−z)

=(x2+y2+z2+2yz)(x+y+z)(x−y−z)

=1×(x2+y2+z2+2yz)×(x+y+z)×(x−y−z)