Algebra Examples

$(- 6 r + 4 s - 2) (\frac{3}{2} t)$

Step 1

Combine $\frac{3}{2}$ and $t$ .

$(- 6 r + 4 s - 2) \frac{3 t}{2}$

Step 2

Apply the distributive property.

$- 6 r \frac{3 t}{2} + 4 s \frac{3 t}{2} - 2 \frac{3 t}{2}$

Step 3

Simplify.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $- 6 r$ .

$2 (- 3 r) \frac{3 t}{2} + 4 s \frac{3 t}{2} - 2 \frac{3 t}{2}$

Step 3.1.2

Cancel the common factor.

$2 (- 3 r) \frac{3 t}{2} + 4 s \frac{3 t}{2} - 2 \frac{3 t}{2}$

Step 3.1.3

Rewrite the expression.

$- 3 r (3 t) + 4 s \frac{3 t}{2} - 2 \frac{3 t}{2}$

Step 3.2

Multiply $3$ by $- 3$ .

$- 9 r t + 4 s \frac{3 t}{2} - 2 \frac{3 t}{2}$

Step 3.3

Cancel the common factor of $2$ .

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Step 3.3.1

Factor $2$ out of $4 s$ .

$- 9 r t + 2 (2 s) \frac{3 t}{2} - 2 \frac{3 t}{2}$

Step 3.3.2

Cancel the common factor.

$- 9 r t + 2 (2 s) \frac{3 t}{2} - 2 \frac{3 t}{2}$

Step 3.3.3

Rewrite the expression.

$- 9 r t + 2 s (3 t) - 2 \frac{3 t}{2}$

Step 3.4

Multiply $3$ by $2$ .

$- 9 r t + 6 s t - 2 \frac{3 t}{2}$

Step 3.5

Cancel the common factor of $2$ .

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Step 3.5.1

Factor $2$ out of $- 2$ .

$- 9 r t + 6 s t + 2 (- 1) \frac{3 t}{2}$

Step 3.5.2

Cancel the common factor.

$- 9 r t + 6 s t + 2 \cdot - 1 \frac{3 t}{2}$

Step 3.5.3

Rewrite the expression.

$- 9 r t + 6 s t - 1 (3 t)$

Step 3.6

Multiply $3$ by $- 1$ .

$- 9 r t + 6 s t - 3 t$