- #1

- 6

- 0

## Homework Statement

Expand and Simplify 6(x-1)(x+2)-(1-x)(2+x)

## Homework Equations

The answer in the book is 7x^2+7x-14

## The Attempt at a Solution

I've tried several ways, but all of them give the wrong answer.

I'm not sure what to do with the negative in the middle. I know it makes everything in the bracket the opposite sign (i.e. - becomes +, + becomes -) but is that for both (1-x) AND (2+x), or just (1-x)?

I'm also not sure whether to multiply the (x+2) by 6 as well as the (1-x).

first I expanded to get 6x-6+x^2-x+2x-2-2-x+2x_x^2, which simplified to 2x^2+14x+4

then I tried expanding again, without multiplying the (x+2) by 6, and got 6x-6+x^2-x+2x-2-2-x+2x+x^2 = 2x^2+6x+2

I know this is really easy, it's my first piece of maths homework for the year, but I've spent two hours trying different ways to do this problem.