Which expression is equivalent to x^2+3x+3 [ (2x^2+13x+15) : (x+5) ]

2x^3+9x^2+15x+9

Step-by-step explanation:

x^2+3x+3 (2x^2+13x+15/x+5)

Factor the numerator of 2nd term into:

(2x+3) (x+5)

Then cancel x+5 from top and bottom of fraction.

So you are left with:

x^2+3x+3 (2x+3)

2x^3+6x^2+6x+3x^2+9x+9

Combine like terms to get answer above

x^2+9x+9 is the answer.