Basic Math Examples

$64 y - 56 y^{2} \div 8 y$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$64 y - \frac{56 y^{2}}{8 y}$

Step 1.2

Cancel the common factor of $56$ and $8$ .

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Step 1.2.1

Factor $8$ out of $56 y^{2}$ .

$64 y - \frac{8 (7 y^{2})}{8 y}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $8$ out of $8 y$ .

$64 y - \frac{8 (7 y^{2})}{8 (y)}$

Step 1.2.2.2

Cancel the common factor.

$64 y - \frac{8 (7 y^{2})}{8 y}$

Step 1.2.2.3

Rewrite the expression.

$64 y - \frac{7 y^{2}}{y}$

$64 y - \frac{7 y^{2}}{y}$

$64 y - \frac{7 y^{2}}{y}$

Step 1.3

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

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Step 1.3.1

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

$64 y - \frac{y (7 y)}{y}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

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

$64 y - \frac{y (7 y)}{y^{1}}$

Step 1.3.2.2

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

$64 y - \frac{y (7 y)}{y \cdot 1}$

Step 1.3.2.3

Cancel the common factor.

$64 y - \frac{y (7 y)}{y \cdot 1}$

Step 1.3.2.4

Rewrite the expression.

$64 y - \frac{7 y}{1}$

Step 1.3.2.5

Divide $7 y$ by $1$ .

$64 y - (7 y)$

$64 y - (7 y)$

$64 y - (7 y)$

Step 1.4

Multiply $7$ by $- 1$ .

$64 y - 7 y$

$64 y - 7 y$

Step 2

Subtract $7 y$ from $64 y$ .

$57 y$

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