Basic Math Examples

$\frac{14 d^{2} - 10 d}{6 d^{2}}$

Step 1

Factor $2 d$ out of $14 d^{2} - 10 d$ .

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Step 1.1

Factor $2 d$ out of $14 d^{2}$ .

$\frac{2 d (7 d) - 10 d}{6 d^{2}}$

Step 1.2

Factor $2 d$ out of $- 10 d$ .

$\frac{2 d (7 d) + 2 d (- 5)}{6 d^{2}}$

Step 1.3

Factor $2 d$ out of $2 d (7 d) + 2 d (- 5)$ .

$\frac{2 d (7 d - 5)}{6 d^{2}}$

$\frac{2 d (7 d - 5)}{6 d^{2}}$

Step 2

Cancel the common factor of $2$ and $6$ .

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Step 2.1

Factor $2$ out of $2 d (7 d - 5)$ .

$\frac{2 (d (7 d - 5))}{6 d^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6 d^{2}$ .

$\frac{2 (d (7 d - 5))}{2 (3 d^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (d (7 d - 5))}{2 (3 d^{2})}$

Step 2.2.3

Rewrite the expression.

$\frac{d (7 d - 5)}{3 d^{2}}$

$\frac{d (7 d - 5)}{3 d^{2}}$

$\frac{d (7 d - 5)}{3 d^{2}}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $d$ out of $3 d^{2}$ .

$\frac{d (7 d - 5)}{d (3 d)}$

Step 3.2

Cancel the common factor.

$\frac{d (7 d - 5)}{d (3 d)}$

Step 3.3

Rewrite the expression.

$\frac{7 d - 5}{3 d}$

$\frac{7 d - 5}{3 d}$

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