Algebra Examples

$- \frac{3}{8} (- 4 y + z)$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$- \frac{3}{8} (- 4 y) - \frac{3}{8} z$

Step 1.2

Cancel the common factor of $4$ .

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Step 1.2.1

Move the leading negative in $- \frac{3}{8}$ into the numerator.

$\frac{- 3}{8} (- 4 y) - \frac{3}{8} z$

Step 1.2.2

Factor $4$ out of $8$ .

$\frac{- 3}{4 (2)} (- 4 y) - \frac{3}{8} z$

Step 1.2.3

Factor $4$ out of $- 4 y$ .

$\frac{- 3}{4 (2)} (4 (- y)) - \frac{3}{8} z$

Step 1.2.4

Cancel the common factor.

$\frac{- 3}{4 \cdot 2} (4 (- y)) - \frac{3}{8} z$

Step 1.2.5

Rewrite the expression.

$\frac{- 3}{2} (- y) - \frac{3}{8} z$

$\frac{- 3}{2} (- y) - \frac{3}{8} z$

Step 1.3

Combine $\frac{- 3}{2}$ and $y$ .

$- \frac{- 3 y}{2} - \frac{3}{8} z$

Step 1.4

Combine $z$ and $\frac{3}{8}$ .

$- \frac{- 3 y}{2} - \frac{z \cdot 3}{8}$

$- \frac{- 3 y}{2} - \frac{z \cdot 3}{8}$

Step 2

Simplify each term.

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Step 2.1

Move the negative in front of the fraction.

$- - \frac{3 y}{2} - \frac{z \cdot 3}{8}$

Step 2.2

Multiply $- - \frac{3 y}{2}$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$1 \frac{3 y}{2} - \frac{z \cdot 3}{8}$

Step 2.2.2

Multiply $\frac{3 y}{2}$ by $1$ .

$\frac{3 y}{2} - \frac{z \cdot 3}{8}$

$\frac{3 y}{2} - \frac{z \cdot 3}{8}$

Step 2.3

Move $3$ to the left of $z$ .

$\frac{3 y}{2} - \frac{3 z}{8}$

$\frac{3 y}{2} - \frac{3 z}{8}$

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