Basic Math Examples

$\frac{y}{2} \cdot (6 y - 5)$

Step 1

Simplify terms.

Tap for more steps...

Step 1.1

Apply the distributive property.

$\frac{y}{2} (6 y) + \frac{y}{2} \cdot - 5$

Step 1.2

Rewrite using the commutative property of multiplication.

$6 \frac{y}{2} y + \frac{y}{2} \cdot - 5$

Step 1.3

Combine $\frac{y}{2}$ and $- 5$ .

$6 \frac{y}{2} y + \frac{y \cdot - 5}{2}$

$6 \frac{y}{2} y + \frac{y \cdot - 5}{2}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $6$ .

$2 (3) \frac{y}{2} y + \frac{y \cdot - 5}{2}$

Step 2.1.2

Cancel the common factor.

$2 \cdot 3 \frac{y}{2} y + \frac{y \cdot - 5}{2}$

Step 2.1.3

Rewrite the expression.

$3 y \cdot y + \frac{y \cdot - 5}{2}$

$3 y \cdot y + \frac{y \cdot - 5}{2}$

Step 2.2

Multiply $y$ by $y$ by adding the exponents.

Tap for more steps...

Step 2.2.1

Move $y$ .

$3 (y \cdot y) + \frac{y \cdot - 5}{2}$

Step 2.2.2

Multiply $y$ by $y$ .

$3 y^{2} + \frac{y \cdot - 5}{2}$

$3 y^{2} + \frac{y \cdot - 5}{2}$

Step 2.3

Move $- 5$ to the left of $y$ .

$3 y^{2} + \frac{- 5 \cdot y}{2}$

Step 2.4

Move the negative in front of the fraction.

$3 y^{2} - \frac{5 y}{2}$

$3 y^{2} - \frac{5 y}{2}$

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