Finite Math Examples

$\frac{2 m}{s^{2}} \cdot (4 s) + \frac{1}{2} \cdot ((\frac{3 m}{s^{2}}) {(4 s)}^{2})$

Step 1

Combine fractions.

$8 s \frac{m}{s^{2}} + \frac{1}{2} \cdot ((\frac{3 m}{s^{2}}) {(4 s)}^{2})$

Step 2

Combine fractions.

$8 s \frac{m}{s^{2}} + \frac{3 {(4 s)}^{2}}{2} \frac{m}{s^{2}}$

Step 3

Cancel the common factor of $3$ and $2$ .

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Step 3.1

Factor $1$ out of $3 {(4 s)}^{2}$ .

$8 s \frac{m}{s^{2}} + \frac{1 (3 {(4 s)}^{2})}{2} \frac{m}{s^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Rewrite $2$ as $1 (2)$ .

$8 s \frac{m}{s^{2}} + \frac{1 (3 {(4 s)}^{2})}{1 (2)} \frac{m}{s^{2}}$

Step 3.2.2

Cancel the common factor.

$8 s \frac{m}{s^{2}} + \frac{1 (3 {(4 s)}^{2})}{1 \cdot 2} \frac{m}{s^{2}}$

Step 3.2.3

Rewrite the expression.

$8 s \frac{m}{s^{2}} + \frac{3 {(4 s)}^{2}}{2} \frac{m}{s^{2}}$

Step 4

Simplify the numerator.

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Step 4.1

Apply the product rule to $4 s$ .

$8 s \frac{m}{s^{2}} + \frac{3 \cdot 4^{2} s^{2}}{2} \frac{m}{s^{2}}$

Step 4.2

Raise $4$ to the power of $2$ .

$8 s \frac{m}{s^{2}} + \frac{3 \cdot 16 s^{2}}{2} \frac{m}{s^{2}}$

Step 4.3

Multiply $3$ by $16$ .

$8 s \frac{m}{s^{2}} + \frac{48 s^{2}}{2} \frac{m}{s^{2}}$

Step 5

Cancel the common factor of $48$ and $2$ .

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Step 5.1

Factor $2$ out of $48 s^{2}$ .

$8 s \frac{m}{s^{2}} + \frac{2 (24 s^{2})}{2} \frac{m}{s^{2}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $2$ .

$8 s \frac{m}{s^{2}} + \frac{2 (24 s^{2})}{2 (1)} \frac{m}{s^{2}}$

Step 5.2.2

Cancel the common factor.

$8 s \frac{m}{s^{2}} + \frac{2 (24 s^{2})}{2 \cdot 1} \frac{m}{s^{2}}$

Step 5.2.3

Rewrite the expression.

$8 s \frac{m}{s^{2}} + \frac{24 s^{2}}{1} \frac{m}{s^{2}}$

Step 5.2.4

Divide $24 s^{2}$ by $1$ .

$8 s \frac{m}{s^{2}} + 24 s^{2} \frac{m}{s^{2}}$