Basic Math Examples

$\frac{1}{2} \cdot (6 - 10 y + 4 z)$

Step 1

Apply the distributive property.

$\frac{1}{2} \cdot 6 + \frac{1}{2} (- 10 y) + \frac{1}{2} (4 z)$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $6$ .

$\frac{1}{2} \cdot (2 (3)) + \frac{1}{2} (- 10 y) + \frac{1}{2} (4 z)$

Step 2.1.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 3) + \frac{1}{2} (- 10 y) + \frac{1}{2} (4 z)$

Step 2.1.3

Rewrite the expression.

$3 + \frac{1}{2} (- 10 y) + \frac{1}{2} (4 z)$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $- 10 y$ .

$3 + \frac{1}{2} (2 (- 5 y)) + \frac{1}{2} (4 z)$

Step 2.2.2

Cancel the common factor.

$3 + \frac{1}{2} (2 (- 5 y)) + \frac{1}{2} (4 z)$

Step 2.2.3

Rewrite the expression.

$3 - 5 y + \frac{1}{2} (4 z)$

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $4 z$ .

$3 - 5 y + \frac{1}{2} (2 (2 z))$

Step 2.3.2

Cancel the common factor.

$3 - 5 y + \frac{1}{2} (2 (2 z))$

Step 2.3.3

Rewrite the expression.

$3 - 5 y + 2 z$

Step 3

Move $3$ .

$- 5 y + 2 z + 3$