Question

x⁴ – y⁴, Factorise the expression.

Answer 1

Given x⁴ - y⁴

= ( x² )² - ( y² )²

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We know the algebraic identity :

a² - b² = ( a + b )( a - b )

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= ( x² + y² )( x² - y² )

= ( x² + y² )( x + y )( x - y )

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Answer 2

X⁴ - Y⁴

( X²)² - (Y²)²

We know that,



So,


( x²)² - (y²)²


(a)² - (b)² = ( a + b ) ( a - b )

( X² + Y² ) ( X² - Y² )


( X² + Y² ) ( X + Y ) ( X - Y) [ Answer ]