Question

Factorise a^4- (a-b ) ^4

Answer 1

Step-by-step explanation:

${a}^{4} - {(a - b)}^{4}$

$= {(a}^{2} - {(a - b)}^{2} )( {a}^{2} + {(a - b)}^{2} )$

$= ( {a}^{2} - {a}^{2} - {b}^{2} + 2ab)( {a}^{2} + {a}^{2} + {b}^{2} - 2ab)$

$=(2ab - {b}^{2} )(2 {a}^{2} + {b}^{2} - 2ab)$