Basic Math Examples

$\frac{14 y^{3}}{7 y^{2}} - 7 y$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $14$ and $7$ .

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Step 1.1.1

Factor $7$ out of $14 y^{3}$ .

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

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $7$ out of $7 y^{2}$ .

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

Step 1.1.2.2

Cancel the common factor.

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

Step 1.1.2.3

Rewrite the expression.

$\frac{2 y^{3}}{y^{2}} - 7 y$

$\frac{2 y^{3}}{y^{2}} - 7 y$

$\frac{2 y^{3}}{y^{2}} - 7 y$

Step 1.2

Cancel the common factor of $y^{3}$ and $y^{2}$ .

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Step 1.2.1

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

$\frac{y^{2} (2 y)}{y^{2}} - 7 y$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Multiply by $1$ .

$\frac{y^{2} (2 y)}{y^{2} \cdot 1} - 7 y$

Step 1.2.2.2

Cancel the common factor.

$\frac{y^{2} (2 y)}{y^{2} \cdot 1} - 7 y$

Step 1.2.2.3

Rewrite the expression.

$\frac{2 y}{1} - 7 y$

Step 1.2.2.4

Divide $2 y$ by $1$ .

$2 y - 7 y$

$2 y - 7 y$

$2 y - 7 y$

$2 y - 7 y$

Step 2

Subtract $7 y$ from $2 y$ .

$- 5 y$

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