Question

Factorize [a ^ 4 - (a - b) ^ 4]​

Answer 1

Answer:

Step-by-step explanation:

Answer: a^4+b^4

=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

Answer 2

$by \: solving \: above \: eq \: we \: get \:$

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

${x}^{2} - {y}^{2} = (x + y)(x - y)$

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