Question

1. factor $15m - 12m^{3}$.

a. $15m(1 - 0.8m^{2})$
b. $-3m(4m^{2} - 5)$
c. $3m(5 - 4m^{2})$
d. $3m - 12m^{3}$

Explanation:

Step1: Find GCF of terms

GCF of $15m$ and $12m^3$ is $3m$.

Step2: Factor out GCF

$15m - 12m^3 = 3m \cdot 5 - 3m \cdot 4m^2$

Step3: Rewrite as factored form

$= 3m(5 - 4m^2)$

Answer:

c. $3m(5 - 4m^{2})$