Algebra Examples

$(\frac{9}{6} t - 4) \cdot 2$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $9$ and $6$ .

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Step 1.1.1

Factor $3$ out of $9$ .

$(\frac{3 (3)}{6} t - 4) \cdot 2$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $3$ out of $6$ .

$(\frac{3 \cdot 3}{3 \cdot 2} t - 4) \cdot 2$

Step 1.1.2.2

Cancel the common factor.

$(\frac{3 \cdot 3}{3 \cdot 2} t - 4) \cdot 2$

Step 1.1.2.3

Rewrite the expression.

$(\frac{3}{2} t - 4) \cdot 2$

$(\frac{3}{2} t - 4) \cdot 2$

$(\frac{3}{2} t - 4) \cdot 2$

Step 1.2

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

$(\frac{3 t}{2} - 4) \cdot 2$

$(\frac{3 t}{2} - 4) \cdot 2$

Step 2

Simplify terms.

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Step 2.1

Apply the distributive property.

$\frac{3 t}{2} \cdot 2 - 4 \cdot 2$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Cancel the common factor.

$\frac{3 t}{2} \cdot 2 - 4 \cdot 2$

Step 2.2.2

Rewrite the expression.

$3 t - 4 \cdot 2$

$3 t - 4 \cdot 2$

Step 2.3

Multiply $- 4$ by $2$ .

$3 t - 8$

$3 t - 8$

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