Question
Simplify the expression
18x3−72
Evaluate
x2×18x−72
Solution
More Steps

Evaluate
x2×18x
Multiply the terms with the same base by adding their exponents
x2+1×18
Add the numbers
x3×18
Use the commutative property to reorder the terms
18x3
18x3−72
Show Solution

Factor the expression
18(x3−4)
Evaluate
x2×18x−72
Multiply
More Steps

Evaluate
x2×18x
Multiply the terms with the same base by adding their exponents
x2+1×18
Add the numbers
x3×18
Use the commutative property to reorder the terms
18x3
18x3−72
Solution
18(x3−4)
Show Solution

Find the roots
x=34
Alternative Form
x≈1.587401
Evaluate
x2×18x−72
To find the roots of the expression,set the expression equal to 0
x2×18x−72=0
Multiply
More Steps

Multiply the terms
x2×18x
Multiply the terms with the same base by adding their exponents
x2+1×18
Add the numbers
x3×18
Use the commutative property to reorder the terms
18x3
18x3−72=0
Move the constant to the right-hand side and change its sign
18x3=0+72
Removing 0 doesn't change the value,so remove it from the expression
18x3=72
Divide both sides
1818x3=1872
Divide the numbers
x3=1872
Divide the numbers
More Steps

Evaluate
1872
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
