Basic Math Examples

$\frac{d^{2}}{4} + \frac{4 d}{5}$

Step 1

Factor $\frac{1}{20}$ out of each term.

$\frac{1}{20} (5 d^{2} + 16 d)$

Step 2

Factor.

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Step 2.1

Factor $d$ out of $5 d^{2} + 16 d$ .

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Step 2.1.1

Factor $d$ out of $5 d^{2}$ .

$\frac{1}{20} \cdot (d (5 d) + 16 d)$

Step 2.1.2

Factor $d$ out of $16 d$ .

$\frac{1}{20} \cdot (d (5 d) + d \cdot 16)$

Step 2.1.3

Factor $d$ out of $d (5 d) + d \cdot 16$ .

$\frac{1}{20} \cdot (d (5 d + 16))$

$\frac{1}{20} \cdot (d (5 d + 16))$

Step 2.2

Remove unnecessary parentheses.

$\frac{1}{20} \cdot d (5 d + 16)$

$\frac{1}{20} \cdot d (5 d + 16)$

Step 3

Combine $\frac{1}{20}$ and $d$ .

$\frac{d}{20} (5 d + 16)$

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