Question

How do you add `(x^2+2x)/(12x+54) - (3-x)/(8x+36)`?

Answer 1

Factorize

`=(x^2+2x)/(6(2x+9))-(3-x)/(4(2x+9))`
`=1/(2(2x+9))*{(x^2+2x)/3-(3-x)/2}`

`=1/(4x+18)*{(2(x^2+2x)-3(3-x))/6}`

`=1/(4x+18)*{(2x^2+4x-9+9x)/6}`

`=1/(4x+18)*{(2x^2+13x-9)/6}`
`=(2x^2+13x-9)/(24x+108)`