Question
Simplify the expression
72x3−2
Evaluate
6x2×12x−2
Solution
More Steps

Evaluate
6x2×12x
Multiply the terms
72x2×x
Multiply the terms with the same base by adding their exponents
72x2+1
Add the numbers
72x3
72x3−2
Show Solution

Factor the expression
2(36x3−1)
Evaluate
6x2×12x−2
Multiply
More Steps

Evaluate
6x2×12x
Multiply the terms
72x2×x
Multiply the terms with the same base by adding their exponents
72x2+1
Add the numbers
72x3
72x3−2
Solution
2(36x3−1)
Show Solution

Find the roots
x=636
Alternative Form
x≈0.302853
Evaluate
6x2×12x−2
To find the roots of the expression,set the expression equal to 0
6x2×12x−2=0
Multiply
More Steps

Multiply the terms
6x2×12x
Multiply the terms
72x2×x
Multiply the terms with the same base by adding their exponents
72x2+1
Add the numbers
72x3
72x3−2=0
Move the constant to the right-hand side and change its sign
72x3=0+2
Removing 0 doesn't change the value,so remove it from the expression
72x3=2
Divide both sides
7272x3=722
Divide the numbers
x3=722
Cancel out the common factor 2
x3=361
Take the 3-th root on both sides of the equation
3x3=3361
Calculate
x=3361
Solution
More Steps

Evaluate
3361
To take a root of a fraction,take the root of the numerator and denominator separately
33631
Simplify the radical expression
3361
Multiply by the Conjugate
336×33623362
Simplify
336×3362636
Multiply the numbers
More Steps

Evaluate
336×3362
The product of roots with the same index is equal to the root of the product
336×362
Calculate the product
3363
Transform the expression
366
Reduce the index of the radical and exponent with 3
62
62636
Reduce the fraction
More Steps

Evaluate
626
Use the product rule aman=an−m to simplify the expression
62−11
Subtract the terms
611
Simplify
61
636
x=636
Alternative Form
x≈0.302853
Show Solution
