SOLUTION: (x-6)(x-1) (x2+4x+3)(x-6)

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Question 33093: (x-6)(x-1)
(x2+4x+3)(x-6)

Answer by kietra(57) About Me  (Show Source):
You can put this solution on YOUR website!
(x-6)(x-1)
First, you must use FOIL to evaluate this- multiply First, Outside, Inside, and Last terms then add them together.
F: x * x
O:-1 * x
I:-6 * x
L:-6 * -1
x * x + -1 * x + -6 * x + -6 * -1
x^2 -1x -6x + 6
x^2 -7x + 6
(x2+4x+3)(x-6)
To complete this problem, you have to multiply every term in the first grouping with every term of the second group (kind of like multiplying a number with 3 digits by a number with 2 digits).
First, lets break it up into two parts and then we'll combine them:
(x2+4x+3)(-6) and (x2+4x+3)(x)
-6x^2 -24x - 18 and x^3 + 4x^2 + 3x
Now, we'll combine (rearrange and put like terms together)
x^3 - 6x^2 + 4x^2 - 24x + 3x - 18
x^3 - 2x^2 - 21x - 18