Finite Math Examples

$\frac{5 a + 35}{a^{2} - 49}$

Step 1

Factor $5$ out of $5 a + 35$ .

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Step 1.1

Factor $5$ out of $5 a$ .

$\frac{5 (a) + 35}{a^{2} - 49}$

Step 1.2

Factor $5$ out of $35$ .

$\frac{5 a + 5 \cdot 7}{a^{2} - 49}$

Step 1.3

Factor $5$ out of $5 a + 5 \cdot 7$ .

$\frac{5 (a + 7)}{a^{2} - 49}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $49$ as $7^{2}$ .

$\frac{5 (a + 7)}{a^{2} - 7^{2}}$

Step 2.2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = a$ and $b = 7$ .

$\frac{5 (a + 7)}{(a + 7) (a - 7)}$

Step 3

Cancel the common factor of $a + 7$ .

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Step 3.1

Cancel the common factor.

$\frac{5 (a + 7)}{(a + 7) (a - 7)}$

Step 3.2

Rewrite the expression.

$\frac{5}{a - 7}$

Step 4

The degree cannot be determined because $\frac{5}{a - 7}$ is not a polynomial.

Not a polynomial