Pre-Algebra Examples

$\frac{s^{2} + 105 + 21}{s t + 3 t} \cdot \frac{t}{s + 7}$

Step 1

Add $105$ and $21$ .

$\frac{s^{2} + 126}{s t + 3 t} \cdot \frac{t}{s + 7}$

Step 2

Factor $t$ out of $s t + 3 t$ .

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Step 2.1

Factor $t$ out of $s t$ .

$\frac{s^{2} + 126}{t s + 3 t} \cdot \frac{t}{s + 7}$

Step 2.2

Factor $t$ out of $3 t$ .

$\frac{s^{2} + 126}{t s + t \cdot 3} \cdot \frac{t}{s + 7}$

Step 2.3

Factor $t$ out of $t s + t \cdot 3$ .

$\frac{s^{2} + 126}{t (s + 3)} \cdot \frac{t}{s + 7}$

Step 3

Cancel the common factor of $t$ .

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Step 3.1

Cancel the common factor.

$\frac{s^{2} + 126}{t (s + 3)} \cdot \frac{t}{s + 7}$

Step 3.2

Rewrite the expression.

$\frac{s^{2} + 126}{s + 3} \cdot \frac{1}{s + 7}$

Step 4

Multiply $\frac{s^{2} + 126}{s + 3}$ by $\frac{1}{s + 7}$ .

$\frac{s^{2} + 126}{(s + 3) (s + 7)}$

Step 5

The polynomial cannot be factored using the specified method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the specified method.