Question

How do you simplify `(x^2+2x)/(3x) - (x^2+5x+6)`?

Answer 1

`(x²+2x)/(3x)-(x²+5x+6)=-((3x+8)(x+2))/3`

Explanation:

[0]`(cancel(x)*x+2*cancel(x))/(3*cancel(x))-(x^2+5x+6)`
[1]`(x+2)/3-(3x²+15x+18)/3`
[2]`(x+2-3x²-15x-18)/3`
[3]`-(3x²+14x+16)/3`
[4]`-(3x²+6x+8x+16)/3`
[5]`-(x(3x+8)+2(3x+8))/3`
[6]`-((3x+8)(x+2))/3`
\0/ here's our answer !