Factorise $x^2-(x-z)^2$.

Given:

Given expression is $x^2-(x-z)^2$.

To do:

We have to factories the given expression.

Solution:

$x^2-(x-z)^2=[x+(x-z)][x-(x-z)]$ (Since $a^2-b^2=(a+b)(a-b)$)

$=(2x-z)(z)$ 

Factorisation of the expression $x^2-(x-z)^2$ is $(2x-z)(z)$. 

Tutorialspoint

Updated on: 10-Oct-2022

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