Solve 2c^26c - 4 - ScanMath

Question

Simplify the expression

12 c^{3} - 4

Evaluate

2 c^{2} \times 6 c - 4

Solution

More Steps

Evaluate

2 c^{2} \times 6 c

Multiply the terms

12 c^{2} \times c

Multiply the terms with the same base by adding their exponents

12 c^{2 + 1}

Add the numbers

12 c^{3}

12 c^{3} - 4

Show Solution

Factor the expression

4 (3 c^{3} - 1)

Evaluate

2 c^{2} \times 6 c - 4

Multiply

More Steps

Evaluate

2 c^{2} \times 6 c

Multiply the terms

12 c^{2} \times c

Multiply the terms with the same base by adding their exponents

12 c^{2 + 1}

Add the numbers

12 c^{3}

12 c^{3} - 4

Solution

4 (3 c^{3} - 1)

Show Solution

Find the roots

c = \frac{3 9}{3}

Alternative Form

c \approx 0.693361

Evaluate

2 c^{2} \times 6 c - 4

To find the roots of the expression,set the expression equal to 0

2 c^{2} \times 6 c - 4 = 0

Multiply

More Steps

Multiply the terms

2 c^{2} \times 6 c

Multiply the terms

12 c^{2} \times c

Multiply the terms with the same base by adding their exponents

12 c^{2 + 1}

Add the numbers

12 c^{3}

12 c^{3} - 4 = 0

Move the constant to the right-hand side and change its sign

12 c^{3} = 0 + 4

Removing 0 doesn't change the value,so remove it from the expression

12 c^{3} = 4

Divide both sides

\frac{12 c ^{3}}{12} = \frac{4}{12}

Divide the numbers

c^{3} = \frac{4}{12}

Cancel out the common factor 4

c^{3} = \frac{1}{3}

Take the 3 -th root on both sides of the equation

3 c^{3} = 3 \frac{1}{3}

Calculate

c = 3 \frac{1}{3}

Solution

More Steps

Evaluate

3 \frac{1}{3}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 3}

Simplify the radical expression

\frac{1}{3 3}

Multiply by the Conjugate

\frac{3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Simplify

\frac{3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

The product of roots with the same index is equal to the root of the product

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 9}{3}

c = \frac{3 9}{3}

Alternative Form

c \approx 0.693361

Show Solution