Answer:
[tex]x^{4} -2 x^{2} +1[/tex]
Step-by-step explanation:
Step 1:-
Given problem is [(x + 1)(x - 1)]^2
by using formula in side square bracket is
[tex](a+b)(a-b)=(a^{2}-b^{2})[/tex]
[tex][x^{2} -1]^{2}[/tex]
Step 2:- again we will use formula
[tex](a-b)^{2} = a^{2} -2 a b+b^{2}[/tex]
[tex][tex](x^2-1)^{2} = (x^{2}) ^{2} -2 x^{2} (1)+1^{2}[/tex][/tex]
on simplification we get
[tex]x^{4}-2 x^{2} +1[/tex]
Final answer:-
[tex]x^{4}-2 x^{2} +1[/tex]
