Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2−2x21
Evaluate
2(1−x2)−1
Express with a positive exponent using a−n=an1
21−x21
Multiply by the reciprocal
1−x21×21
Multiply the terms
(1−x2)×21
Multiply the terms
2(1−x2)1
Solution
More Steps
Evaluate
2(1−x2)
Apply the distributive property
2×1−2x2
Any expression multiplied by 1 remains the same
2−2x2
2−2x21
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Find the roots
x∈∅
Evaluate
2(1−x2)−1
To find the roots of the expression,set the expression equal to 0
2(1−x2)−1=0
Find the domain
More Steps
Evaluate
1−x2=0
Rewrite the expression
−x2=−1
Change the signs on both sides of the equation
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 inequality into 2 possible cases
{x=1x=−1
Find the intersection
x∈(−∞,−1)∪(−1,1)∪(1,+∞)
2(1−x2)−1=0,x∈(−∞,−1)∪(−1,1)∪(1,+∞)
Calculate
2(1−x2)−1=0
Divide the terms
More Steps
Evaluate
2(1−x2)−1
Express with a positive exponent using a−n=an1
21−x21
Multiply by the reciprocal
1−x21×21
Multiply the terms
(1−x2)×21
Multiply the terms
2(1−x2)1
2(1−x2)1=0
Cross multiply
1=2(1−x2)×0
Simplify the equation
1=0
Solution
x∈∅
Show Solution