Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(1−x)(1+x)(1+x2)
Evaluate
1−x4
Rewrite the expression in exponential form
12−(x2)2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−x2)(1+x2)
Solution
More Steps
Evaluate
1−x2
Rewrite the expression in exponential form
12−x2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−x)(1+x)
(1−x)(1+x)(1+x2)
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Find the roots
x1=−1,x2=1
Evaluate
1−x4
To find the roots of the expression,set the expression equal to 0
1−x4=0
Move the constant to the right-hand side and change its sign
−x4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x4=−1
Change the signs on both sides of the equation
x4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±41
Simplify the expression
x=±1
Separate the equation into 2 possible cases
x=1x=−1
Solution
x1=−1,x2=1
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