Basic Math Examples

$P (14) = \frac{17 {(14)}^{2} - 86 + 125}{{(14)}^{2} - 5 \cdot 14 + 6}$

Step 1

Simplify.

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Step 1.1

Raise $14$ to the power of $2$ .

$P (14) = \frac{17 \cdot 196 - 86 + 125}{14^{2} - 5 \cdot 14 + 6}$

Step 1.2

Multiply $17$ by $196$ .

$P (14) = \frac{3332 - 86 + 125}{14^{2} - 5 \cdot 14 + 6}$

Step 1.3

Multiply $- 5$ by $14$ .

$P (14) = \frac{3332 - 86 + 125}{14^{2} - 70 + 6}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Subtract $86$ from $3332$ .

$P (14) = \frac{3246 + 125}{14^{2} - 70 + 6}$

Step 1.4.2

Add $3246$ and $125$ .

$P (14) = \frac{3371}{14^{2} - 70 + 6}$

Step 1.5

Simplify the denominator.

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Step 1.5.1

Raise $14$ to the power of $2$ .

$P (14) = \frac{3371}{196 - 70 + 6}$

Step 1.5.2

Subtract $70$ from $196$ .

$P (14) = \frac{3371}{126 + 6}$

Step 1.5.3

Add $126$ and $6$ .

$P (14) = \frac{3371}{132}$

Step 2

Divide each term in $P (14) = \frac{3371}{132}$ by $14$ and simplify.

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Step 2.1

Divide each term in $P (14) = \frac{3371}{132}$ by $14$ .

$\frac{P (14)}{14} = \frac{\frac{3371}{132}}{14}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $14$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{P \cdot 14}{14} = \frac{\frac{3371}{132}}{14}$

Step 2.2.1.2

Divide $P$ by $1$ .

$P = \frac{\frac{3371}{132}}{14}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$P = \frac{3371}{132} \cdot \frac{1}{14}$

Step 2.3.2

Multiply $\frac{3371}{132} \cdot \frac{1}{14}$ .

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Step 2.3.2.1

Multiply $\frac{3371}{132}$ by $\frac{1}{14}$ .

$P = \frac{3371}{132 \cdot 14}$

Step 2.3.2.2

Multiply $132$ by $14$ .

$P = \frac{3371}{1848}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$P = \frac{3371}{1848}$

Decimal Form:

$P = 1.82413419 \dots$

Mixed Number Form:

$P = 1 \frac{1523}{1848}$