Question
Simplify the expression
4x3−48
Evaluate
x2×4x−48
Solution
More Steps

Evaluate
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
4x3−48
Show Solution

Factor the expression
4(x3−12)
Evaluate
x2×4x−48
Multiply
More Steps

Evaluate
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
4x3−48
Solution
4(x3−12)
Show Solution

Find the roots
x=312
Alternative Form
x≈2.289428
Evaluate
x2×4x−48
To find the roots of the expression,set the expression equal to 0
x2×4x−48=0
Multiply
More Steps

Multiply the terms
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
4x3−48=0
Move the constant to the right-hand side and change its sign
4x3=0+48
Removing 0 doesn't change the value,so remove it from the expression
4x3=48
Divide both sides
44x3=448
Divide the numbers
x3=448
Divide the numbers
More Steps

Evaluate
448
Reduce the numbers
112
Calculate
12
x3=12
Take the 3-th root on both sides of the equation
3x3=312
Solution
x=312
Alternative Form
x≈2.289428
Show Solution
