Question

Simplify (x+3)(x-1) - x(x+2)

Answer 1

`\boxed{-3}`

Explanation:

Hey there!

Well to simplify,

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

we need to do

(x+3)(x-1) first,

(x+3)(x-1)

x*x = x^2

-x + 3x = 2x

-1 * 3 = -3

`\boxed{x^2 + 2x - 3}`

Now we can do,

x(x+2)

x*x = x^2

x*2 = 2x

`\boxed{x^2 + 2x}`

So now we need to subtract the 2 products,

x^2 - x^2 = 0

2x - 2x = 0

The answer is,

`\boxed{-3}`

Hope this helps :)

Answer 2

-3

Explanation:

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

Foil the first term

First x^2

outer -x

inner 3x

last -3

Add them together

x^2 -x+3x-3 = x^2 +2x-3

x^2 +2x-3 - x(x+2)

Distribute the second term

x^2 +2x-3 -x^2 -2x

Combine like terms

-3