Question
Factor the expression
10(8−x)(8+x)
Evaluate
640−10x2
Factor out 10 from the expression
10(64−x2)
Solution
More Steps

Evaluate
64−x2
Rewrite the expression in exponential form
82−x2
Use a2−b2=(a−b)(a+b) to factor the expression
(8−x)(8+x)
10(8−x)(8+x)
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Find the roots
x1=−8,x2=8
Evaluate
640−10x2
To find the roots of the expression,set the expression equal to 0
640−10x2=0
Move the constant to the right-hand side and change its sign
−10x2=0−640
Removing 0 doesn't change the value,so remove it from the expression
−10x2=−640
Change the signs on both sides of the equation
10x2=640
Divide both sides
1010x2=10640
Divide the numbers
x2=10640
Divide the numbers
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Evaluate
10640
Reduce the numbers
164
Calculate
64
x2=64
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±64
Simplify the expression
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Evaluate
64
Write the number in exponential form with the base of 8
82
Reduce the index of the radical and exponent with 2
8
x=±8
Separate the equation into 2 possible cases
x=8x=−8
Solution
x1=−8,x2=8
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