Basic Math Examples

$\frac{1}{2} \cdot (y^{2} - y) \cdot 110$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$(\frac{1}{2} y^{2} + \frac{1}{2} (- y)) \cdot 110$

Step 1.2

Combine $\frac{1}{2}$ and $y^{2}$ .

$(\frac{y^{2}}{2} + \frac{1}{2} (- y)) \cdot 110$

Step 1.3

Combine $\frac{1}{2}$ and $y$ .

$(\frac{y^{2}}{2} - \frac{y}{2}) \cdot 110$

Step 1.4

Apply the distributive property.

$\frac{y^{2}}{2} \cdot 110 - \frac{y}{2} \cdot 110$

Step 1.5

Cancel the common factor of $2$ .

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Step 1.5.1

Factor $2$ out of $110$ .

$\frac{y^{2}}{2} \cdot (2 (55)) - \frac{y}{2} \cdot 110$

Step 1.5.2

Cancel the common factor.

$\frac{y^{2}}{2} \cdot (2 \cdot 55) - \frac{y}{2} \cdot 110$

Step 1.5.3

Rewrite the expression.

$y^{2} \cdot 55 - \frac{y}{2} \cdot 110$

Step 1.6

Cancel the common factor of $2$ .

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Step 1.6.1

Move the leading negative in $- \frac{y}{2}$ into the numerator.

$y^{2} \cdot 55 + \frac{- y}{2} \cdot 110$

Step 1.6.2

Factor $2$ out of $110$ .

$y^{2} \cdot 55 + \frac{- y}{2} \cdot (2 (55))$

Step 1.6.3

Cancel the common factor.

$y^{2} \cdot 55 + \frac{- y}{2} \cdot (2 \cdot 55)$

Step 1.6.4

Rewrite the expression.

$y^{2} \cdot 55 - y \cdot 55$

Step 1.7

Multiply $55$ by $- 1$ .

$y^{2} \cdot 55 - 55 y$

Step 2

Move $55$ to the left of $y^{2}$ .

$55 y^{2} - 55 y$