Question

Factorise this expression
(x-z)tothepower4 -x tothepower4

Answer 1

( x - z )⁴ - x⁴

{ (x - z )² }² - { (x)² }²

we know that a² - b² = (a+b) (a-b)

{ (x - z )² + x² } { ( x - z ) ² - x ² }

{ x² + z² - 2xz + x² } { x² + z² - 2xz - x² }

{ 2x² + z² - 2xz } { z² - 2xz }



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