Question
Factor the expression
64(x−1)(x+1)
Evaluate
64x2−64
Factor out 64 from the expression
64(x2−1)
Solution
More Steps

Evaluate
x2−1
Rewrite the expression in exponential form
x2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(x−1)(x+1)
64(x−1)(x+1)
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Find the roots
x1=−1,x2=1
Evaluate
64x2−64
To find the roots of the expression,set the expression equal to 0
64x2−64=0
Move the constant to the right-hand side and change its sign
64x2=0+64
Removing 0 doesn't change the value,so remove it from the expression
64x2=64
Divide both sides
6464x2=6464
Divide the numbers
x2=6464
Divide the numbers
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Evaluate
6464
Reduce the numbers
11
Calculate
1
x2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1
Simplify the expression
x=±1
Separate the equation into 2 possible cases
x=1x=−1
Solution
x1=−1,x2=1
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