Question

How do you simplify `-3g(7g-2)+3(g^2+2g+1)-3g(-5g+3)`?

Answer 1

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

Explanation:

There are three terms. Remove the brackets in each term using the distributive law and the collect all the like terms together.

`-3g(7g-2)+3(g^2+2g+1)-3g(-5g+3)`

=`-21g^2+6g +3g^2+6g +3+15g^2-9g`

=`color(red)(-21g^2+ 3g^2 + 15g^2) color(blue)( +6g+6g+15g-9g)color(magenta)(+3)`

=`color(red)(-3g^2) color(blue)( +18g)color(magenta)(+3)`