Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−1
Evaluate
x2×1×x−1
Solution
More Steps
Evaluate
x2×1×x
Rewrite the expression
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−1
Show Solution
Factor the expression
(x−1)(x2+x+1)
Evaluate
x2×1×x−1
Evaluate
More Steps
Evaluate
x2×1×x
Rewrite the expression
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−1
Rewrite the expression in exponential form
x3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−1)(x2+x×1+12)
Any expression multiplied by 1 remains the same
(x−1)(x2+x+12)
Solution
(x−1)(x2+x+1)
Show Solution
Find the roots
x=1
Evaluate
x2×1×x−1
To find the roots of the expression,set the expression equal to 0
x2×1×x−1=0
Multiply the terms
More Steps
Multiply the terms
x2×1×x
Rewrite the expression
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
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
Solution
x=1
Show Solution