Question

Find the complete factored form of polynomial : 32m^3 n^4 + 20mn^2

Answer 1

Answer:

$\boxed{\bold{4mn^2\left(8m^2n^2+5\right)}}$

Step-by-step explanation:

Apply exponent rule: $\bold{a^{b+c}=a^ba^c}$

$\bold{m^3n^4=mm^2n^2n^2}$

= $\bold{32mm^2n^2n^2+20mn^2}$

Rewrite 20 as $\bold{5\cdot \:4}$

Rewrite 32 as $\bold{8\cdot \:4}$

= $\bold{8\cdot \:4mm^2n^2n^2+5\cdot \:4mn^2}$

Factor out common term $\bold{4mn^2}$

= $\bold{4mn^2\left(8m^2n^2+5\right)}$

- Mordancy