Question
Simplify the expression
12c3−4
Evaluate
2c2×6c−4
Solution
More Steps

Evaluate
2c2×6c
Multiply the terms
12c2×c
Multiply the terms with the same base by adding their exponents
12c2+1
Add the numbers
12c3
12c3−4
Show Solution

Factor the expression
4(3c3−1)
Evaluate
2c2×6c−4
Multiply
More Steps

Evaluate
2c2×6c
Multiply the terms
12c2×c
Multiply the terms with the same base by adding their exponents
12c2+1
Add the numbers
12c3
12c3−4
Solution
4(3c3−1)
Show Solution

Find the roots
c=339
Alternative Form
c≈0.693361
Evaluate
2c2×6c−4
To find the roots of the expression,set the expression equal to 0
2c2×6c−4=0
Multiply
More Steps

Multiply the terms
2c2×6c
Multiply the terms
12c2×c
Multiply the terms with the same base by adding their exponents
12c2+1
Add the numbers
12c3
12c3−4=0
Move the constant to the right-hand side and change its sign
12c3=0+4
Removing 0 doesn't change the value,so remove it from the expression
12c3=4
Divide both sides
1212c3=124
Divide the numbers
c3=124
Cancel out the common factor 4
c3=31
Take the 3-th root on both sides of the equation
3c3=331
Calculate
c=331
Solution
More Steps

Evaluate
331
To take a root of a fraction,take the root of the numerator and denominator separately
3331
Simplify the radical expression
331
Multiply by the Conjugate
33×332332
Simplify
33×33239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
339
c=339
Alternative Form
c≈0.693361
Show Solution
