Question

Which expression is equivalent to mn^2/mn+m^2n^2

Answer 1

C

Explanation:

Answer 2

Hey there! Hope I can be of assistance!


`(mn^2)/(mn+m^2n^2) \ \textgreater \ Factor\;mn+m^2n^2 \ \textgreater \ \mathrm{Apply\:exponent\:rule}:\ \:a^(b+c)=a^ba^c`

`m^2=mm,\:n^2=nn \ \textgreater \ mn+mmnn`


`\mathrm{Factor\:out\:common\:term\:}mn \ \textgreater \ mn\left(mn+1\right) \ \textgreater \ (mn^2)/(mn\left(mn+1\right))`


`Cancel\;(mn^2)/(mn\left(mn+1\right)) \ \textgreater \ \mathrm{Cancel\:the\:common\:factor:}\:m \ \textgreater \ (n^2)/(n\left(mn+1\right))`


`\mathrm{Cancel\:the\:common\:factor:}\:n \ \textgreater \ (n)/(mn+1)`

In your case, the answer should be C!

Hope this helps!