Algebra Examples

$\frac{q + 5}{2} \cdot \frac{4 q}{q + 4}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $4 q$ .

$\frac{q + 5}{2} \cdot \frac{2 (2 q)}{q + 4}$

Step 1.2

Cancel the common factor.

$\frac{q + 5}{2} \cdot \frac{2 (2 q)}{q + 4}$

Step 1.3

Rewrite the expression.

$(q + 5) \cdot \frac{2 q}{q + 4}$

$(q + 5) \cdot \frac{2 q}{q + 4}$

Step 2

Multiply $q + 5$ by $\frac{2 q}{q + 4}$ .

$\frac{(q + 5) (2 q)}{q + 4}$

Step 3

Simplify the expression.

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Step 3.1

Move $2$ to the left of $q + 5$ .

$\frac{2 \cdot (q + 5) q}{q + 4}$

Step 3.2

Reorder factors in $\frac{2 (q + 5) q}{q + 4}$ .

$\frac{2 q (q + 5)}{q + 4}$

$\frac{2 q (q + 5)}{q + 4}$

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