Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
1
Evaluate
(1−x2)(1−x2)−1
Express with a positive exponent using a−n=an1
(1−x2)×1−x21
Cancel out the common factor 1−x2
1×1
Solution
1
Show Solution
Find the roots
x∈∅
Evaluate
(1−x2)(1−x2)−1
To find the roots of the expression,set the expression equal to 0
(1−x2)(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,+∞)
(1−x2)(1−x2)−1=0,x∈(−∞,−1)∪(−1,1)∪(1,+∞)
Calculate
(1−x2)(1−x2)−1=0
Multiply the terms
More Steps
Calculate
(1−x2)(1−x2)−1
Express with a positive exponent using a−n=an1
(1−x2)×1−x21
Cancel out the common factor 1−x2
1×1
Multiply the terms
1
1=0
Solution
x∈∅
Show Solution