Question
Simplify the expression
6x3−21
Evaluate
x2×6x−21
Solution
More Steps

Evaluate
x2×6x
Multiply the terms with the same base by adding their exponents
x2+1×6
Add the numbers
x3×6
Use the commutative property to reorder the terms
6x3
6x3−21
Show Solution

Factor the expression
3(2x3−7)
Evaluate
x2×6x−21
Multiply
More Steps

Evaluate
x2×6x
Multiply the terms with the same base by adding their exponents
x2+1×6
Add the numbers
x3×6
Use the commutative property to reorder the terms
6x3
6x3−21
Solution
3(2x3−7)
Show Solution

Find the roots
x=2328
Alternative Form
x≈1.518294
Evaluate
x2×6x−21
To find the roots of the expression,set the expression equal to 0
x2×6x−21=0
Multiply
More Steps

Multiply the terms
x2×6x
Multiply the terms with the same base by adding their exponents
x2+1×6
Add the numbers
x3×6
Use the commutative property to reorder the terms
6x3
6x3−21=0
Move the constant to the right-hand side and change its sign
6x3=0+21
Removing 0 doesn't change the value,so remove it from the expression
6x3=21
Divide both sides
66x3=621
Divide the numbers
x3=621
Cancel out the common factor 3
x3=27
Take the 3-th root on both sides of the equation
3x3=327
Calculate
x=327
Solution
More Steps

Evaluate
327
To take a root of a fraction,take the root of the numerator and denominator separately
3237
Multiply by the Conjugate
32×32237×322
Simplify
32×32237×34
Multiply the numbers
More Steps

Evaluate
37×34
The product of roots with the same index is equal to the root of the product
37×4
Calculate the product
328
32×322328
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2328
x=2328
Alternative Form
x≈1.518294
Show Solution
