Algebra Examples

$\frac{d^{2} - e^{2}}{7 d + 7 e}$

Step 1

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

$\frac{(d + e) (d - e)}{7 d + 7 e}$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Factor $7$ out of $7 d + 7 e$ .

Tap for more steps...

Step 2.1.1

Factor $7$ out of $7 d$ .

$\frac{(d + e) (d - e)}{7 (d) + 7 e}$

Step 2.1.2

Factor $7$ out of $7 e$ .

$\frac{(d + e) (d - e)}{7 (d) + 7 (e)}$

Step 2.1.3

Factor $7$ out of $7 (d) + 7 (e)$ .

$\frac{(d + e) (d - e)}{7 (d + e)}$

Step 2.2

Cancel the common factor of $d + e$ .

Tap for more steps...

Step 2.2.1

Cancel the common factor.

$\frac{(d + e) (d - e)}{7 (d + e)}$

Step 2.2.2

Rewrite the expression.

$\frac{d - e}{7}$