Question
Simplify the expression
18x3−45
Evaluate
3x2×6x−45
Solution
More Steps

Evaluate
3x2×6x
Multiply the terms
18x2×x
Multiply the terms with the same base by adding their exponents
18x2+1
Add the numbers
18x3
18x3−45
Show Solution

Factor the expression
9(2x3−5)
Evaluate
3x2×6x−45
Multiply
More Steps

Evaluate
3x2×6x
Multiply the terms
18x2×x
Multiply the terms with the same base by adding their exponents
18x2+1
Add the numbers
18x3
18x3−45
Solution
9(2x3−5)
Show Solution

Find the roots
x=2320
Alternative Form
x≈1.357209
Evaluate
3x2×6x−45
To find the roots of the expression,set the expression equal to 0
3x2×6x−45=0
Multiply
More Steps

Multiply the terms
3x2×6x
Multiply the terms
18x2×x
Multiply the terms with the same base by adding their exponents
18x2+1
Add the numbers
18x3
18x3−45=0
Move the constant to the right-hand side and change its sign
18x3=0+45
Removing 0 doesn't change the value,so remove it from the expression
18x3=45
Divide both sides
1818x3=1845
Divide the numbers
x3=1845
Cancel out the common factor 9
x3=25
Take the 3-th root on both sides of the equation
3x3=325
Calculate
x=325
Solution
More Steps

Evaluate
325
To take a root of a fraction,take the root of the numerator and denominator separately
3235
Multiply by the Conjugate
32×32235×322
Simplify
32×32235×34
Multiply the numbers
More Steps

Evaluate
35×34
The product of roots with the same index is equal to the root of the product
35×4
Calculate the product
320
32×322320
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
2320
x=2320
Alternative Form
x≈1.357209
Show Solution
