Algebra Examples

$\frac{x^{2} - y^{2}}{8 x - 8 y}$

Step 1

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

$\frac{(x + y) (x - y)}{8 x - 8 y}$

Step 2

Simplify terms.

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Step 2.1

Factor $8$ out of $8 x - 8 y$ .

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Step 2.1.1

Factor $8$ out of $8 x$ .

$\frac{(x + y) (x - y)}{8 (x) - 8 y}$

Step 2.1.2

Factor $8$ out of $- 8 y$ .

$\frac{(x + y) (x - y)}{8 (x) + 8 (- y)}$

Step 2.1.3

Factor $8$ out of $8 (x) + 8 (- y)$ .

$\frac{(x + y) (x - y)}{8 (x - y)}$

Step 2.2

Cancel the common factor of $x - y$ .

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Step 2.2.1

Cancel the common factor.

$\frac{(x + y) (x - y)}{8 (x - y)}$

Step 2.2.2

Rewrite the expression.

$\frac{x + y}{8}$