Question
Simplify the expression
16x3−20
Evaluate
4x2×4x−20
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
16x3−20
Show Solution

Factor the expression
4(4x3−5)
Evaluate
4x2×4x−20
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
16x3−20
Solution
4(4x3−5)
Show Solution

Find the roots
x=2310
Alternative Form
x≈1.077217
Evaluate
4x2×4x−20
To find the roots of the expression,set the expression equal to 0
4x2×4x−20=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
16x3−20=0
Move the constant to the right-hand side and change its sign
16x3=0+20
Removing 0 doesn't change the value,so remove it from the expression
16x3=20
Divide both sides
1616x3=1620
Divide the numbers
x3=1620
Cancel out the common factor 4
x3=45
Take the 3-th root on both sides of the equation
3x3=345
Calculate
x=345
Solution
More Steps

Evaluate
345
To take a root of a fraction,take the root of the numerator and denominator separately
3435
Multiply by the Conjugate
34×34235×342
Simplify
34×34235×232
Multiply the numbers
More Steps

Evaluate
35×232
Multiply the terms
310×2
Use the commutative property to reorder the terms
2310
34×3422310
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
222310
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2310
x=2310
Alternative Form
x≈1.077217
Show Solution
