Finite Math Examples

$\frac{26}{{(2 x + 4)}^{2}}$

Step 1

Simplify the denominator.

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Step 1.1

Factor $2$ out of $2 x + 4$ .

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Step 1.1.1

Factor $2$ out of $2 x$ .

$\frac{26}{{(2 (x) + 4)}^{2}}$

Step 1.1.2

Factor $2$ out of $4$ .

$\frac{26}{{(2 x + 2 \cdot 2)}^{2}}$

Step 1.1.3

Factor $2$ out of $2 x + 2 \cdot 2$ .

$\frac{26}{{(2 (x + 2))}^{2}}$

$\frac{26}{{(2 (x + 2))}^{2}}$

Step 1.2

Apply the product rule to $2 (x + 2)$ .

$\frac{26}{2^{2} {(x + 2)}^{2}}$

Step 1.3

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

$\frac{26}{4 {(x + 2)}^{2}}$

$\frac{26}{4 {(x + 2)}^{2}}$

Step 2

Cancel the common factor of $26$ and $4$ .

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Step 2.1

Factor $2$ out of $26$ .

$\frac{2 (13)}{4 {(x + 2)}^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $4 {(x + 2)}^{2}$ .

$\frac{2 (13)}{2 (2 {(x + 2)}^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 13}{2 (2 {(x + 2)}^{2})}$

Step 2.2.3

Rewrite the expression.

$\frac{13}{2 {(x + 2)}^{2}}$

$\frac{13}{2 {(x + 2)}^{2}}$

$\frac{13}{2 {(x + 2)}^{2}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$