Question
Factor the expression
18(x−1)(x+1)
Evaluate
18x2−18
Factor out 18 from the expression
18(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)
18(x−1)(x+1)
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Find the roots
x1=−1,x2=1
Evaluate
18x2−18
To find the roots of the expression,set the expression equal to 0
18x2−18=0
Move the constant to the right-hand side and change its sign
18x2=0+18
Removing 0 doesn't change the value,so remove it from the expression
18x2=18
Divide both sides
1818x2=1818
Divide the numbers
x2=1818
Divide the numbers
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Evaluate
1818
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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