## Algebra 1

-8$c^{2}$(3$c^{2}$+2c-9)=-24$c^{4}$-16$c^{3}$+72$c^{2}$
In order to simplify the product -8$c^{2}$(3$c^{2}$+2c-9) we must apply the distributive property that states that a(b+c+d)=ab+ac+ad. If we set a=-8$c^{3}$, b=3$c^{2}$, c=2c and d=-9 to rewrite the product Using the distributive property, -8$c^{2}$(3$c^{2}$+2c-9)=-24$c^{4}$-16$c^{3}$+72$c^{2}$