Basic Math Examples

$4 m^{2} y - \frac{2 m^{3} (y^{2})}{2 m y}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Cancel the common factor.

$4 m^{2} y - \frac{2 m^{3} y^{2}}{2 m y}$

Step 1.1.2

Rewrite the expression.

$4 m^{2} y - \frac{m^{3} (y^{2})}{m y}$

$4 m^{2} y - \frac{m^{3} (y^{2})}{m y}$

Step 1.2

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

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Step 1.2.1

Factor $m$ out of $m^{3} (y^{2})$ .

$4 m^{2} y - \frac{m (m^{2} y^{2})}{m y}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $m$ out of $m y$ .

$4 m^{2} y - \frac{m (m^{2} y^{2})}{m (y)}$

Step 1.2.2.2

Cancel the common factor.

$4 m^{2} y - \frac{m (m^{2} y^{2})}{m y}$

Step 1.2.2.3

Rewrite the expression.

$4 m^{2} y - \frac{m^{2} y^{2}}{y}$

$4 m^{2} y - \frac{m^{2} y^{2}}{y}$

$4 m^{2} y - \frac{m^{2} y^{2}}{y}$

Step 1.3

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

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Step 1.3.1

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

$4 m^{2} y - \frac{y (m^{2} y)}{y}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Raise $y$ to the power of $1$ .

$4 m^{2} y - \frac{y (m^{2} y)}{y^{1}}$

Step 1.3.2.2

Factor $y$ out of $y^{1}$ .

$4 m^{2} y - \frac{y (m^{2} y)}{y \cdot 1}$

Step 1.3.2.3

Cancel the common factor.

$4 m^{2} y - \frac{y (m^{2} y)}{y \cdot 1}$

Step 1.3.2.4

Rewrite the expression.

$4 m^{2} y - \frac{m^{2} y}{1}$

Step 1.3.2.5

Divide $m^{2} y$ by $1$ .

$4 m^{2} y - (m^{2} y)$

$4 m^{2} y - (m^{2} y)$

$4 m^{2} y - m^{2} y$

$4 m^{2} y - m^{2} y$

Step 2

Subtract $m^{2} y$ from $4 m^{2} y$ .

$3 m^{2} y$

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