Question

How do you simplify `\frac { 12a ^ { 2} + 31a x + 20x ^ { 2} } { 16x ^ { 2} - 9a ^ { 2} }`?

Answer 1

`(5x+4a)/(4x-3a)`

Explanation:

`(12a^2+31ax+20x^2)/(16x^2-9a^2)`

`=(12a^2+16ax+15ax+20x^2)/[(4x+3a)*(4x-3a)]`

`=[4a*(4x+3a)+5x*(4x+3a)]/[(4x+3a)*(4x-3a)]`

`=[(5x+4a)(4x+3a)]/[(4x+3a)(4x-3a)]`

`=(5x+4a)/(4x-3a)`