SOLUTION: Simplify the expression. Make sure to show/explain your work. Write your answer in standard form. (w^2 + 3)(3w^2 + 5w - 6)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the expression. Make sure to show/explain your work. Write your answer in standard form. (w^2 + 3)(3w^2 + 5w - 6)      Log On


   

Question 952748: Simplify the expression. Make sure to show/explain your work. Write your answer in standard form.

(w^2 + 3)(3w^2 + 5w - 6)
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
%28w%5E2+%2B+3%29%283w%5E2+%2B+5w+-+6%29

This is the same thing as w%5E2%283w%5E2+%2B+5w+-+6%29%2B3%283w%5E2+%2B+5w+-+6%29 (if you are distributing a problem such as %28a%2Bb%29%28c%2Bd%29 you can "break up" the first segment into a%28c%2Bd%29%2Bb%28c%2Bd%29 and you will get the same answer). This may be a little easier to interpret.

w%5E2%283w%5E2+%2B+5w+-+6%29%2B3%283w%5E2+%2B+5w+-+6%29
Distribute everything.
%283w%5E4%2B5w%5E3-6w%5E2%29+%2B+%289w%5E2%2B15w-18%29
Combine like terms.
3w%5E4%2B5w%5E3%2B3w%5E2%2B15w-18