Factor 1-(a^2)/25

$1 - \frac{a^{2}}{25}$

Step 1

Rewrite $1$ as $1^{2}$ .

$1^{2} - \frac{a^{2}}{25}$

Step 2

Rewrite $\frac{a^{2}}{25}$ as ${(\frac{a}{5})}^{2}$ .

$1^{2} - {(\frac{a}{5})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 1$ and $b = \frac{a}{5}$ .

$(1 + \frac{a}{5}) (1 - \frac{a}{5})$

Factor 1-(a^2)/25

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