Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x4−x
Evaluate
(x×1)(x2×x−1)
Remove the parentheses
x×1×(x2×x−1)
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x×1×(x3−1)
Multiply the terms
x(x3−1)
Apply the distributive property
x×x3−x×1
Multiply the terms
More Steps
Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
x4−x×1
Solution
x4−x
Show Solution
Factor the expression
x(x−1)(x2+x+1)
Evaluate
(x×1)(x2×x−1)
Remove the parentheses
x×1×(x2×x−1)
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x×1×(x3−1)
Any expression multiplied by 1 remains the same
x(x3−1)
Solution
More Steps
Evaluate
x3−1
Calculate
x3+x2+x−x2−x−1
Rewrite the expression
x×x2+x×x+x−x2−x−1
Factor out x from the expression
x(x2+x+1)−x2−x−1
Factor out −1 from the expression
x(x2+x+1)−(x2+x+1)
Factor out x2+x+1 from the expression
(x−1)(x2+x+1)
x(x−1)(x2+x+1)
Show Solution
Find the roots
x1=0,x2=1
Evaluate
(x×1)(x2×x−1)
To find the roots of the expression,set the expression equal to 0
(x×1)(x2×x−1)=0
Any expression multiplied by 1 remains the same
x(x2×x−1)=0
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x(x3−1)=0
Separate the equation into 2 possible cases
x=0x3−1=0
Solve the equation
More Steps
Evaluate
x3−1=0
Move the constant to the right-hand side and change its sign
x3=0+1
Removing 0 doesn't change the value,so remove it from the expression
x3=1
Take the 3-th root on both sides of the equation
3x3=31
Calculate
x=31
Simplify the root
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution