Answer:
[tex]\boxed{\bold{4mn^2\left(8m^2n^2+5\right)}}[/tex]
Step-by-step explanation:
Apply exponent rule: [tex]\bold{a^{b+c}=a^ba^c}[/tex]
[tex]\bold{m^3n^4=mm^2n^2n^2}[/tex]
= [tex]\bold{32mm^2n^2n^2+20mn^2}[/tex]
Rewrite 20 as [tex]\bold{5\cdot \:4}[/tex]
Rewrite 32 as [tex]\bold{8\cdot \:4}[/tex]
= [tex]\bold{8\cdot \:4mm^2n^2n^2+5\cdot \:4mn^2}[/tex]
Factor out common term [tex]\bold{4mn^2}[/tex]
= [tex]\bold{4mn^2\left(8m^2n^2+5\right)}[/tex]
- Mordancy
