Question

How do you simplify `\frac{6x+18}{6x^{2}-64}`?

Answer 1

`[3(x+3)]/(3x^2-32)`

Explanation:

`(6x+18)/(6x^2-64)=`

`=[2(3x+9)]/[2(3x^2-32)]=`

`=[3(x+3)]/(3x^2-32)=`

`=[3(x+3)]/((sqrt3x-4sqrt2)(sqrt3x+4sqrt2))`