Question
Simplify the expression
120x3−8
Evaluate
15x2×8x−8
Solution
More Steps

Evaluate
15x2×8x
Multiply the terms
120x2×x
Multiply the terms with the same base by adding their exponents
120x2+1
Add the numbers
120x3
120x3−8
Show Solution

Factor the expression
8(15x3−1)
Evaluate
15x2×8x−8
Multiply
More Steps

Evaluate
15x2×8x
Multiply the terms
120x2×x
Multiply the terms with the same base by adding their exponents
120x2+1
Add the numbers
120x3
120x3−8
Solution
8(15x3−1)
Show Solution

Find the roots
x=153225
Alternative Form
x≈0.40548
Evaluate
15x2×8x−8
To find the roots of the expression,set the expression equal to 0
15x2×8x−8=0
Multiply
More Steps

Multiply the terms
15x2×8x
Multiply the terms
120x2×x
Multiply the terms with the same base by adding their exponents
120x2+1
Add the numbers
120x3
120x3−8=0
Move the constant to the right-hand side and change its sign
120x3=0+8
Removing 0 doesn't change the value,so remove it from the expression
120x3=8
Divide both sides
120120x3=1208
Divide the numbers
x3=1208
Cancel out the common factor 8
x3=151
Take the 3-th root on both sides of the equation
3x3=3151
Calculate
x=3151
Solution
More Steps

Evaluate
3151
To take a root of a fraction,take the root of the numerator and denominator separately
31531
Simplify the radical expression
3151
Multiply by the Conjugate
315×31523152
Simplify
315×31523225
Multiply the numbers
More Steps

Evaluate
315×3152
The product of roots with the same index is equal to the root of the product
315×152
Calculate the product
3153
Reduce the index of the radical and exponent with 3
15
153225
x=153225
Alternative Form
x≈0.40548
Show Solution
