Simplify 3p^2q+3p (2pq-4) + 5p^3

Distribute

a (b+c) = ab+ac

3p (3pq-4) = 9p^2q-12p

we have

3p^2q+9p^2q-12p+5p^3

add like terms

4p^3+12p^2q-12p

Step by Step

3p^2q+3p (2pq-4) + 5p^3

Distribute:

= 3p^2 q + (3p) (2pq) + (3p) (-4) + 5p^3 = 3p2 q + 6p2 q + - 12p + 5 p3

Combine Like Terms:

= 3p^2 q + 6p^2 q + - 12p + 5p^3 = (5p^3) + (3p^2 q + 6p^2 q) + (-12p) = 5p^3 + 9p^2 q + - 12 p

= 5p^3+9p^2q-12p