Practice!

Sample Problem

Simplify the following expression

(x + 1)(3x – 2) – x(x – 1) =

Solution

(x + 1)(3x – 2) – x(x – 1)

                          = x(3x) + x(-2) + 1(3x) + 1(-2) – x(x) – x(-1)

                          = 3x2 – 2x + 3x – 2 – x2 + x

                          = 2x2+ 2x – 2