In bespeak to aspect a trinomial, we find 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, these numbers would be -4 and also -1. We use x2 for each aspect in order to account because that the x4 and also -5x2. A this point, we notification that x2-4 is a distinction of squares that determinants to (x+2)(x-2) and x2-1 is also a difference of squares that determinants to (x+1)(x-1). For this reason our last answer in factored form is (x+2)(x-2)(x+1)(x-1).
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