SOLUTION: Multiply as required and collect terms ( x � 4)(2x2 + 4) + ( x + 4)(x3 � 1) � ( x2 � x � 1)

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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