Question

Find the product mentally. [(x + 1)(x - 1)]^2 pls help. Be quick if you can =)

Answer 1

`x^(4) -2 x^(2) +1`

Explanation:

Step 1:-

Given problem is [(x + 1)(x - 1)]^2

by using formula in side square bracket is

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

`[x^(2) -1]^(2)`

Step 2:- again we will use formula

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

`[tex](x^2-1)^(2) = (x^(2)) ^(2) -2 x^(2)  (1)+1^(2)`[/tex]

on simplification we get

`x^(4)-2 x^(2)  +1`

Final answer:-

`x^(4)-2 x^(2)  +1`