Question
Simplify the expression
16x3−24
Evaluate
4x2×4x−24
Solution
More Steps

Evaluate
4x2×4x
Multiply the terms
16x2×x
Multiply the terms with the same base by adding their exponents
16x2+1
Add the numbers
16x3
16x3−24
Show Solution

Factor the expression
8(2x3−3)
Evaluate
4x2×4x−24
Multiply
More Steps

Evaluate
4x2×4x
Multiply the terms
16x2×x
Multiply the terms with the same base by adding their exponents
16x2+1
Add the numbers
16x3
16x3−24
Solution
8(2x3−3)
Show Solution

Find the roots
x=2312
Alternative Form
x≈1.144714
Evaluate
4x2×4x−24
To find the roots of the expression,set the expression equal to 0
4x2×4x−24=0
Multiply
More Steps

Multiply the terms
4x2×4x
Multiply the terms
16x2×x
Multiply the terms with the same base by adding their exponents
16x2+1
Add the numbers
16x3
16x3−24=0
Move the constant to the right-hand side and change its sign
16x3=0+24
Removing 0 doesn't change the value,so remove it from the expression
16x3=24
Divide both sides
1616x3=1624
Divide the numbers
x3=1624
Cancel out the common factor 8
x3=23
Take the 3-th root on both sides of the equation
3x3=323
Calculate
x=323
Solution
More Steps

Evaluate
323
To take a root of a fraction,take the root of the numerator and denominator separately
3233
Multiply by the Conjugate
32×32233×322
Simplify
32×32233×34
Multiply the numbers
More Steps

Evaluate
33×34
The product of roots with the same index is equal to the root of the product
33×4
Calculate the product
312
32×322312
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
2312
x=2312
Alternative Form
x≈1.144714
Show Solution
