Question

factor $18n^{5}p^{2}-20np^{5}+10n^{2}p + 12np$.
a. $2n(9n^{4}p^{2}-10p^{4}+5np + 6p)$
b. $18n^{5}p^{2}-20np^{5}+10n^{2}p + 12np$
c. $2np(9n^{4}p-10p^{4}+5n + 6)$
d. $np(18n^{4}p-20p^{4}+10n + 12)$

Explanation:

Step1: Identify greatest common factor

The GCF of $18n^5p^2, -20np^5, 10n^2p, 12np$ is $2np$.

Step2: Divide each term by GCF

$\frac{18n^5p^2}{2np}=9n^4p$, $\frac{-20np^5}{2np}=-10p^4$, $\frac{10n^2p}{2np}=5n$, $\frac{12np}{2np}=6$

Step3: Factor out the GCF

$2np(9n^{4}p - 10p^{4} + 5n + 6)$

Answer:

c. $2np(9n^{4}p - 10p^{4} + 5n + 6)$