How do you foil #(x-1)^2#?

1 Answer
Jul 12, 2018

Answer:

#(x-1)^2 = x^2-2x+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)# 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#