Math, asked by alicesinha, 1 year ago

factorise x⁴-(x-z)⁴​

Answers

Answered by Justrock12345
9

Answer:

x4-(x-z)4 is the given expression

let (x-z) = y

So, x^4 - y^4 = (x^2)^2 - (y^2)^2 = {(x^2) + (y^2)} {(x^2) - (y^2)} = {(x^2) + (y^2)} (x+y) (x-y)

Put the value of y into the found expression

= {(x^2) + (y^2)} (x+y) (x-y)

= {x^2+(x-z)^2} (x+x-z) (x-x+z)

= (x^2+x^2+z^2-2xz) (2x-z) (z)

= (2x^2+z^2-2xz) (2x-z)(z)

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