SOLUTION: Find the following product:(x-8)(x +8)

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Question 664236: Find the following product:(x-8)(x +8)
Found 3 solutions by mananth, MathLover1, ksmith34:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
:(x-8)(x +8)
using the identity
%28a%2Bb%29%28a-b%29=a%5E2-b%5E2
%28x%2B8%29%28x-8%29+=+%28x%29%5E2-%288%29%5E2

=x%5E2-64

Answer by MathLover1(20850) About Me  (Show Source):
Answer by ksmith34(1) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply each term in the first group by each term in the second group using FOIL method
(x * x + x * 8 - 8 * x - 8 * 8)
Multiply x by x to get x^2
(x^2 + x * 8 - 8 * x - 8 * 8)
Multiply x by 8 to get 8x
(x^2 + 8x -8 * x -8 * 8)
Multiply-8 by x to get -8x
(X^2 + 8x -8x -8 *8)
Multiply -8 by 8 to get -64
(x^2 + 8x -8x -64)
x is a factor of both 8x and -8x
(x^2 +(8-8)x -64)
To add integers with different signs, subtract their absolute values and give the result the same sign as the integer with the greater absolute value.
(x^2 + (0)x -64)
remove parentheses
(x^2 -64)
Therefore the answer is (x^2 -64)