Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x2−2
Evaluate
2x2×22−2
Divide the terms
2x2×1−2
Solution
2x2−2
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Factor the expression
2(x−1)(x+1)
Evaluate
2x2×22−2
Evaluate
More Steps
Evaluate
2x2×22
Divide the terms
2x2×1
Multiply the terms
2x2
2x2−2
Factor out 2 from the expression
2(x2−1)
Solution
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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)
2(x−1)(x+1)
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Find the roots
x1=−1,x2=1
Evaluate
2x2×22−2
To find the roots of the expression,set the expression equal to 0
2x2×22−2=0
Divide the terms
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Evaluate
22
Reduce the numbers
11
Calculate
1
2x2×1−2=0
Multiply the terms
2x2−2=0
Move the constant to the right-hand side and change its sign
2x2=0+2
Removing 0 doesn't change the value,so remove it from the expression
2x2=2
Divide both sides
22x2=22
Divide the numbers
x2=22
Divide the numbers
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Evaluate
22
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
Show Solution