Question 32279
Hello!
As you mentioned, this problem can be solved using the FOIL method. However, since there are two trinomials, it cna become a bit cumbersome. So let's do it like this. First, let's split the expression by multiplying each term in the 1st trinomial by the whole 2nd trinomial:

{{{2x^2(x^2+3x+3) + 4x(x^2+3x+3) -5(x^2+3x+3)}}}

And then use the distributive property for each:

{{{(2x^4 + 6x^3 + 6x^2) + (4x^3 + 12x^2 + 12x) - (5x^2 + 15x + 15)}}}

And finally, group like terms:

{{{2x^4 + (6 + 4)x^3 + (6+12-5)x^2 + (12 - 15)x - 15}}}
{{{2x^4 + 10x^3 + 13x^2 - 3x - 15}}}

So the correct answer is B


I hope this helps!
Get more answers at <a href=http://www.onlinemathanswers.com>Online Math Answers.com</a>!