Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−x4
Evaluate
(1−x2)(1×x2)
Remove the parentheses
(1−x2)×1×x2
Rewrite the expression
(1−x2)x2
Multiply the terms
x2(1−x2)
Apply the distributive property
x2×1−x2×x2
Any expression multiplied by 1 remains the same
x2−x2×x2
Solution
More Steps
Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
x2−x4
Show Solution
Factor the expression
x2(1−x)(1+x)
Evaluate
(1−x2)(1×x2)
Remove the parentheses
(1−x2)×1×x2
Any expression multiplied by 1 remains the same
(1−x2)x2
Multiply the terms
x2(1−x2)
Solution
x2(1−x)(1+x)
Show Solution
Find the roots
x1=−1,x2=0,x3=1
Evaluate
(1−x2)(1×x2)
To find the roots of the expression,set the expression equal to 0
(1−x2)(1×x2)=0
Any expression multiplied by 1 remains the same
(1−x2)x2=0
Multiply the terms
x2(1−x2)=0
Separate the equation into 2 possible cases
x2=01−x2=0
The only way a power can be 0 is when the base equals 0
x=01−x2=0
Solve the equation
More Steps
Evaluate
1−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−1
Removing 0 doesn't change the value,so remove it from 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 equation into 2 possible cases
x=1x=−1
x=0x=1x=−1
Solution
x1=−1,x2=0,x3=1
Show Solution