Question

Which expression is equivalent to (x+2)(3x-3)

a. 3x^2-6

b. 3x^2+3x-6

c. 3x^2+6x-6

d. 3x^2+9x-6

Answer 1

`3x^2+3x-6`

Explanation:

`\left(x+2\right)\left(3x-3\right)`

Use FOIL.

`x\cdot \:3x+x\left(-3\right)+2\cdot \:3x+2\left(-3\right)`

`3xx-3x+2\cdot \:3x-2\cdot \:3`

`3x^2-3x+2\cdot \:3x-2\cdot \:3`

`3x^2-3x+6x-6`

`3x^2+3x-6`