Question
Simplify the expression
48x3−172
Evaluate
4x2×12x−172
Solution
More Steps

Evaluate
4x2×12x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3−172
Show Solution

Factor the expression
4(12x3−43)
Evaluate
4x2×12x−172
Multiply
More Steps

Evaluate
4x2×12x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3−172
Solution
4(12x3−43)
Show Solution

Find the roots
x=63774
Alternative Form
x≈1.53025
Evaluate
4x2×12x−172
To find the roots of the expression,set the expression equal to 0
4x2×12x−172=0
Multiply
More Steps

Multiply the terms
4x2×12x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3−172=0
Move the constant to the right-hand side and change its sign
48x3=0+172
Removing 0 doesn't change the value,so remove it from the expression
48x3=172
Divide both sides
4848x3=48172
Divide the numbers
x3=48172
Cancel out the common factor 4
x3=1243
Take the 3-th root on both sides of the equation
3x3=31243
Calculate
x=31243
Solution
More Steps

Evaluate
31243
To take a root of a fraction,take the root of the numerator and denominator separately
312343
Multiply by the Conjugate
312×3122343×3122
Simplify
312×3122343×2318
Multiply the numbers
More Steps

Evaluate
343×2318
Multiply the terms
3774×2
Use the commutative property to reorder the terms
23774
312×312223774
Multiply the numbers
More Steps

Evaluate
312×3122
The product of roots with the same index is equal to the root of the product
312×122
Calculate the product
3123
Reduce the index of the radical and exponent with 3
12
1223774
Cancel out the common factor 2
63774
x=63774
Alternative Form
x≈1.53025
Show Solution
