Algebra Examples

$0.09 y^{2} - 0.81$

Step 1

The polynomial cannot be factored using the grouping method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the grouping method.

Step 2

Factor $0.09$ out of $0.09 y^{2} - 0.81$ .

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Step 2.1

Factor $0.09$ out of $0.09 y^{2}$ .

$0.09 (y^{2}) - 0.81$

Step 2.2

Factor $0.09$ out of $- 0.81$ .

$0.09 y^{2} + 0.09 \cdot - 9$

Step 2.3

Factor $0.09$ out of $0.09 y^{2} + 0.09 \cdot - 9$ .

$0.09 (y^{2} - 9)$

Step 3

Rewrite $9$ as $3^{2}$ .

$0.09 (y^{2} - 3^{2})$

Step 4

Factor.

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Step 4.1

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

$0.09 ((y + 3) (y - 3))$

Step 4.2

Remove unnecessary parentheses.

$0.09 (y + 3) (y - 3)$