In bespeak to factor a trinomial, we uncover two numbers whose product is ac and whose amount is b.

You are watching: Factor (x-1)^2

In the case of x4 -5x2 +4, this numbers would certainly be -4 and -1. We use x2 for each element in order come account because that the x4 and -5x2. A this point, we an alert that x2-4 is a distinction of squares that factors to (x+2)(x-2) and also x2-1 is likewise a difference of squares that components to (x+1)(x-1). Therefore our final answer in factored form is (x+2)(x-2)(x+1)(x-1).


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