SOLUTION: Short answer. Find the product: -9x (x^3 – 3x^2 + 3x + 9) help

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Question 503847: Short answer. Find the product:
-9x (x^3 – 3x^2 + 3x + 9) help

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your expression is:
-9x(x^3 – 3x^2 + 3x + 9)
if you rewrite it with multiplication sign included and enclosing the -9x in parentheses, then it will look like:
(-9x)*(x^3 - 3x^2 + 3x + 9)
the distributive laws of multiplication state:
a*(b+c) = (a*b) + (a*c)
we use that law in solving this problem to get:
((-9x) * (x^3)) - ((-9x) * (3x^2)) + ((-9x) * (3x)) + ((-9x) * 9)
we simplify this to get:
(-9x^4) - (-27x^3) + (-9x^2) + (-81x)
we simplify this further to get:
-9x^4 + 27x^3 - 9x^2 - 81x
it is easier to do the multiplication using pen and paper because then you can do the multiplication just like you would do an ordinary arithmetic multiplication.
the picture below shows you what i mean.
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