Question

How do you simplify `7x^{2} ( x + 1) - x ( x + 1) + 6( x + 1)`?

Answer 1

`7x^3+8x^2-5x-6`

Explanation:

First you take the term that is outside each of the parenthesis and multiply it by each of the terms inside the parenthesis like so:
`7x^2*x+7x^2*1+x*x+x*1-6*x-6*1`

Finishing each of those multiplications leaves us with:
`7x^3+7x^2+x^2+x-6x-6`

Now we add/subtract the common terms:
`7x^2+x^2=8x^2`
`x-6x=-5x`
leaving:
`7x^3+8x^2-5x-6`