Question

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

Answer 1

Answer:

$x^{4} -2 x^{2} +1$

Step-by-step 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:-

$x^{4}-2 x^{2} +1$