Question

How do you multiply `\frac{5x^2+16x+3}{36x^2-25} \cdot (6x^2+5x)`?

Answer 1

`(x*(5*x^2+16x+3))/(6x-5)`

Explanation:

The numerator is given by
`36x^2-25=(6x-5)(6x+5)`
and the factor
`6x^2+5x=x(6x+5)`
So we get by cancelling
`6x+5`
the result
`(x(5x^2+16x+3))/(6x-5)`