Basic Math Examples

$\frac{4}{25} c^{2} - \frac{9}{121}$

Step 1

Rewrite $\frac{4}{25} c^{2}$ as ${(\frac{2}{5} c)}^{2}$ .

${(\frac{2}{5} c)}^{2} - \frac{9}{121}$

Step 2

Rewrite $\frac{9}{121}$ as ${(\frac{3}{11})}^{2}$ .

${(\frac{2}{5} c)}^{2} - {(\frac{3}{11})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = \frac{2}{5} c$ and $b = \frac{3}{11}$ .

$(\frac{2}{5} c + \frac{3}{11}) (\frac{2}{5} c - \frac{3}{11})$

Step 4

Simplify.

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Step 4.1

Combine $\frac{2}{5}$ and $c$ .

$(\frac{2 c}{5} + \frac{3}{11}) (\frac{2}{5} c - \frac{3}{11})$

Step 4.2

Combine $\frac{2}{5}$ and $c$ .

$(\frac{2 c}{5} + \frac{3}{11}) (\frac{2 c}{5} - \frac{3}{11})$