Question

How do you find the product `-9g(-2g+g^2)+3(g^2+4)`?

Answer 1

See a solution process below:

Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

`color(red)(-9g)(-2g + g^2) + color(blue)(3)(g^2 + 4) =>`

`(color(red)(-9g) xx -2g) + (color(red)(-9g) xx -g^2) + (color(blue)(3) xx g^2) + (color(blue)(3) xx 4) =>`

`18g^2+ (-9g^3) + 3g^2 + 12 =>`

`18g^2 - 9g^3 + 3g^2 + 12`

Next, group like terms:

`-9g^3 + 18g^2 + 3g^2 + 12`

Now, combine like terms:

`-9g^3 + (18 + 3)g^2 + 12`

`-9g^3 + 21g^2 + 12`