Question 176996: Multiply as required and collect terms
( x – 4)(2x2 + 4) + ( x + 4)(x3 – 1) – ( x2 – x – 1)
Answer by colliefan(242)   (Show Source):
You can put this solution on YOUR website! ( x – 4)(2x2 + 4) + ( x + 4)(x3 – 1) – ( x2 – x – 1)
{( x – 4)(2x2 + 4)} + {( x + 4)(x3 – 1)} {– ( x2 – x – 1) }
First, simplify the last of these 3 sections so we don't forget that the minus sign applies to all 3 of the last terms and that if we are subtracting a negative x, it is really adding x.
( x – 4)(2x^2 + 4) + ( x + 4)(x^3 – 1) – x^2 + x + 1
Then multiply each term in the binomials by the other terms. Watch the signs.
x*2x^2 + x*4 -4*2x^2 -4*4 + x*x^3 - x*1 + 4*x^3 – 4*1 – x^2 + x + 1
2x^3 + 4x - 8x^2 - 16 + x^4 - x + 4x^3 – 4 – x^2 + x + 1
Reorganizing the terms:
x^4 + 2x^3 + 4x^3 - 8x^2 – x^2 + 4x - x + x - 16 + 1– 4
Now, combine like terms:
x^4 + 6x^3 - 9x^2 + 4x - 19
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