Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−72
Evaluate
x2×x−72
Solution
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−72
Show Solution
Find the roots
x=239
Alternative Form
x≈4.160168
Evaluate
x2×x−72
To find the roots of the expression,set the expression equal to 0
x2×x−72=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
x3−72=0
Move the constant to the right-hand side and change its sign
x3=0+72
Removing 0 doesn't change the value,so remove it from the expression
x3=72
Take the 3-th root on both sides of the equation
3x3=372
Calculate
x=372
Solution
More Steps
Evaluate
372
Write the expression as a product where the root of one of the factors can be evaluated
38×9
Write the number in exponential form with the base of 2
323×9
The root of a product is equal to the product of the roots of each factor
323×39
Reduce the index of the radical and exponent with 3
239
x=239
Alternative Form
x≈4.160168
Show Solution