Basic Math Examples

$V (2) = {4.2}^{3} - 80 \cdot 2^{2} + 400 \cdot 2$

Step 1

Simplify.

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Step 1.1

Raise $2$ to the power of $2$ .

$V (2) = {4.2}^{3} - 80 \cdot 4 + 400 \cdot 2$

Step 1.2

Multiply $- 80$ by $4$ .

$V (2) = {4.2}^{3} - 320 + 400 \cdot 2$

Step 1.3

Multiply $400$ by $2$ .

$V (2) = {4.2}^{3} - 320 + 800$

Step 1.4

Add $- 320$ and $800$ .

$V (2) = {4.2}^{3} + 480$

Step 2

Divide each term in $V (2) = {4.2}^{3} + 480$ by $2$ and simplify.

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Step 2.1

Divide each term in $V (2) = {4.2}^{3} + 480$ by $2$ .

$\frac{V (2)}{2} = \frac{{4.2}^{3}}{2} + \frac{480}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{V \cdot 2}{2} = \frac{{4.2}^{3}}{2} + \frac{480}{2}$

Step 2.2.1.2

Divide $V$ by $1$ .

$V = \frac{{4.2}^{3}}{2} + \frac{480}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Combine the numerators over the common denominator.

$V = \frac{{4.2}^{3} + 480}{2}$

Step 2.3.2

Simplify the expression.

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Step 2.3.2.1

Raise $4.2$ to the power of $3$ .

$V = \frac{74.088 + 480}{2}$

Step 2.3.2.2

Add $74.088$ and $480$ .

$V = \frac{554.088}{2}$

Step 2.3.2.3

Divide $554.088$ by $2$ .

$V = 277.044$