Algebra Examples

$\frac{7 a + 7 b}{a^{2} - b^{2}}$

Step 1

Factor $7$ out of $7 a + 7 b$ .

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Step 1.1

Factor $7$ out of $7 a$ .

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

Step 1.2

Factor $7$ out of $7 b$ .

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

Step 1.3

Factor $7$ out of $7 (a) + 7 (b)$ .

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

Step 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 $b = b$ .

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

Step 3

Cancel the common factor of $a + b$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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