Solve n^2 4n-12 - ScanMath

Question

Simplify the expression

4 n^{3} - 12

Evaluate

n^{2} \times 4 n - 12

Solution

More Steps

Evaluate

n^{2} \times 4 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 4

Add the numbers

n^{3} \times 4

Use the commutative property to reorder the terms

4 n^{3}

4 n^{3} - 12

Show Solution

4 (n^{3} - 3)

Evaluate

n^{2} \times 4 n - 12

Multiply

More Steps

Evaluate

n^{2} \times 4 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 4

Add the numbers

n^{3} \times 4

Use the commutative property to reorder the terms

4 n^{3}

4 n^{3} - 12

Solution

4 (n^{3} - 3)

Show Solution

n = 33

Alternative Form

n \approx 1.44225

Evaluate

n^{2} \times 4 n - 12

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

n^{2} \times 4 n - 12 = 0

Multiply

More Steps

Multiply the terms

n^{2} \times 4 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 4

Add the numbers

n^{3} \times 4

Use the commutative property to reorder the terms

4 n^{3}

4 n^{3} - 12 = 0

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

4 n^{3} = 0 + 12

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

4 n^{3} = 12

Divide both sides

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

Divide the numbers

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

Divide the numbers

More Steps

Evaluate

\frac{12}{4}

Reduce the numbers

\frac{3}{1}

Calculate

3

n^{3} = 3

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

3 n^{3} = 33

Solution

n = 33

Alternative Form

n \approx 1.44225

Show Solution