Question
Simplify the expression
9x3−36
Evaluate
x2×9x−36
Solution
More Steps

Evaluate
x2×9x
Multiply the terms with the same base by adding their exponents
x2+1×9
Add the numbers
x3×9
Use the commutative property to reorder the terms
9x3
9x3−36
Show Solution

Factor the expression
9(x3−4)
Evaluate
x2×9x−36
Multiply
More Steps

Evaluate
x2×9x
Multiply the terms with the same base by adding their exponents
x2+1×9
Add the numbers
x3×9
Use the commutative property to reorder the terms
9x3
9x3−36
Solution
9(x3−4)
Show Solution

Find the roots
x=34
Alternative Form
x≈1.587401
Evaluate
x2×9x−36
To find the roots of the expression,set the expression equal to 0
x2×9x−36=0
Multiply
More Steps

Multiply the terms
x2×9x
Multiply the terms with the same base by adding their exponents
x2+1×9
Add the numbers
x3×9
Use the commutative property to reorder the terms
9x3
9x3−36=0
Move the constant to the right-hand side and change its sign
9x3=0+36
Removing 0 doesn't change the value,so remove it from the expression
9x3=36
Divide both sides
99x3=936
Divide the numbers
x3=936
Divide the numbers
More Steps

Evaluate
936
Reduce the numbers
14
Calculate
4
x3=4
Take the 3-th root on both sides of the equation
3x3=34
Solution
x=34
Alternative Form
x≈1.587401
Show Solution
