Basic Math Examples

${(y + 5)}^{2} - 36$

Step 1

Rewrite $36$ as $6^{2}$ .

${(y + 5)}^{2} - 6^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = y + 5$ and $b = 6$ .

$(y + 5 + 6) (y + 5 - 6)$

Step 3

Simplify.

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Step 3.1

Add $5$ and $6$ .

$(y + 11) (y + 5 - 6)$

Step 3.2

Subtract $6$ from $5$ .

$(y + 11) (y - 1)$