SOLUTION: Expand & simplify. 5(3x-1) + 4(x^2 - 3x + 3)(x + 6)

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Question 430120: Expand & simplify. 5(3x-1) + 4(x^2 - 3x + 3)(x + 6)
Found 2 solutions by haileytucki, algebrahouse.com:
Answer by haileytucki(390) About Me  (Show Source):
You can put this solution on YOUR website!
5(3x-1)+4(x^(2)-3x+3)(x+6)
Multiply 5 by each term inside the parentheses.
15x-5+4(x^(2)-3x+3)(x+6)
Multiply each term in the first polynomial by each term in the second polynomial.
15x-5+4(x^(2)*x+x^(2)*6-3x*x-3x*6+3*x+3*6)
Multiply each term in the first polynomial by each term in the second polynomial.
15x-5+4(x^(3)+3x^(2)-15x+18)
Multiply 4 by each term inside the parentheses.
15x-5+4x^(3)+12x^(2)-60x+72
Since 15x and -60x are like terms, add -60x to 15x to get -45x.
-45x-5+4x^(3)+12x^(2)+72
Add 72 to -5 to get 67.
-45x+67+4x^(3)+12x^(2)
Reorder the polynomial -45x+67+4x^(3)+12x^(2) alphabetically from left to right, starting with the highest order term.
4x^(3)+12x^(2)-45x+67

Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
5(3x - 1) + 4(x^2 - 3x + 3)(x + 6)
= 15x - 5 + (4x^2 - 12x + 12)(x + 6) {used distributive property with 5 and 4}
= 15x - 5 + 4x^3 + 24x^2 - 12x^2 - 72x + 12x + 72 {used distributive property}
= 4x^3 + 12x^2 - 45x + 67 {combined like terms}
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