Question

How do you simplify `\frac { 5h ^ { 12} + 40h ^ { 9} } { 10h ^ { 10} }`?

Answer 1

`(h^3+8)/(2h)`

Explanation:

`(5h^12+40h^9)/(10h^10)`

=`(5h^9(h^3+8))/(10h^10)`

Take out the common factor which is `5h^9` for both the numerator and denominator
=`(cancel(5h^9)(h^3+8))/(2cancel10cancel(h^10)h)`

Simplify
=`(h^3+8)/(2h)`