Question

factorise a^4 - (a-b)^4 plsss ans ​

Answer 1

Answer:

(2a²-2ab+b²)(-2ab+b²)

Step-by-step explanation:

$a ^{4} - (a - b) ^{4} \\ \\ a ^{4} = ({a}^{2} )^{2}$

$(a - b) ^{4} = (a - b ^{2} ) ^{2}$

take each term as a and b

use identity a²-b²=(a+b)(a-b)

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

=(a²+a²-2ab+b²)(a²-a²-2ab+b²)

=(2a²-2ab+b²)(-2ab+b²)