Question

factor ( 15m - 12m^3 ).

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

Explanation:

Step1: Identify greatest common factor

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

Step2: Factor out the GCF

Divide each term by $3m$:
$\frac{15m}{3m} = 5$, $\frac{-12m^3}{3m} = -4m^2$
Rewrite the expression: $3m(5 - 4m^2)$

Answer:

d. $3m(5 - 4m^2)$