SOLUTION: Multiply: (5x+8)(8x-5)
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Question 110063: Multiply: (5x+8)(8x-5)
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
(5x+8)(8x-5)
.
A way to do this problem is to first multiply the 5x times each of the terms in the second
set of parentheses and next multiply the +8 times each of the terms in the second set of
parentheses. Then simplify by combining the products.
.
Note ... this is often referred to as the FOIL method because you are multiplying the First
terms in each set of parentheses, then the Outside terms in each set, then the Inside terms
in each set, and finally the Last terms in each set ... Firsts, Outsides, Insides, Lasts ... FOIL.
.
5x * 8x = +40x^2 <=== Firsts
.
5x * -5 = -25x <=== Outsides
.
8 * 8x = +64x <=== Insides
.
8 * -5 = -40 <=== Lasts
.
Combine all the terms:
.
.
Notice that the two terms containing x can be added. -25x + 64x = 39x and this reduces the
answer to:
.
.
Hope this clarifies the problem for you.
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