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

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Answer 1 · 2016-08-16T18:57:06

$-3g^2+18g+3$

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

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

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

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

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

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