Question

a⁴-b⁴
answe is(a-b)(a+b)(a²-b²)
please give me answer​

Answer 1

Answer:

see answer in attach ment

Answer 2

We need to prove

$a^4 - b^4 = (a-b)(a+b)(a^2-b^2)$

Taking LHS

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

Because $(x^m)^n = x^m^n$

Using formula

$x^{2} -y^{2} = (x-y)(x+y)\\where\\x = a^2 \ and \ y = b^2$

LHS =

$(a^2 - b^2)(a^2+b^2)\\\\(Again \ using \ the \ same \ formula\\where \ x=a \ and \ y=b)\\\\\\LHS = (a-b)(a+b)(a^2+b^2)$

Which is equal to RHS

Hence proved