Question
Simplify the expression
12x3−160
Evaluate
x2×12x−160
Solution
More Steps

Evaluate
x2×12x
Multiply the terms with the same base by adding their exponents
x2+1×12
Add the numbers
x3×12
Use the commutative property to reorder the terms
12x3
12x3−160
Show Solution

Factor the expression
4(3x3−40)
Evaluate
x2×12x−160
Multiply
More Steps

Evaluate
x2×12x
Multiply the terms with the same base by adding their exponents
x2+1×12
Add the numbers
x3×12
Use the commutative property to reorder the terms
12x3
12x3−160
Solution
4(3x3−40)
Show Solution

Find the roots
x=32345
Alternative Form
x≈2.371262
Evaluate
x2×12x−160
To find the roots of the expression,set the expression equal to 0
x2×12x−160=0
Multiply
More Steps

Multiply the terms
x2×12x
Multiply the terms with the same base by adding their exponents
x2+1×12
Add the numbers
x3×12
Use the commutative property to reorder the terms
12x3
12x3−160=0
Move the constant to the right-hand side and change its sign
12x3=0+160
Removing 0 doesn't change the value,so remove it from the expression
12x3=160
Divide both sides
1212x3=12160
Divide the numbers
x3=12160
Cancel out the common factor 4
x3=340
Take the 3-th root on both sides of the equation
3x3=3340
Calculate
x=3340
Solution
More Steps

Evaluate
3340
To take a root of a fraction,take the root of the numerator and denominator separately
33340
Simplify the radical expression
More Steps

Evaluate
340
Write the expression as a product where the root of one of the factors can be evaluated
38×5
Write the number in exponential form with the base of 2
323×5
The root of a product is equal to the product of the roots of each factor
323×35
Reduce the index of the radical and exponent with 3
235
33235
Multiply by the Conjugate
33×332235×332
Simplify
33×332235×39
Multiply the numbers
More Steps

Evaluate
35×39
The product of roots with the same index is equal to the root of the product
35×9
Calculate the product
345
33×3322345
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
32345
x=32345
Alternative Form
x≈2.371262
Show Solution
