How do you foil (x-1)^2(x−1)2?

1 Answer
George C.
Jul 12, 2018

(x-1)^2 = x^2-2x+1(x−1)2=x2−2x+1

Explanation:

FOIL is a mnemonic to help remember which combinations of terms need to be combined to evaluate the product of two binomials.

In our example, (x-1)^2 = (x-1)(x-1)(x−1)2=(x−1)(x−1) can be evaluated as follows:

(x-1)(x-1) = overbrace(x * x)^"First" + overbrace(x * (-1))^"Outside" + overbrace((-1)*x)^"Inside" + overbrace((-1) * (-1))^"Last"

color(white)((x-1)(x-1)) = x^2-x-x+1

color(white)((x-1)(x-1)) = x^2-2x+1

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