Factor 0.36-x^4y^4

$0.36 - x^{4} y^{4}$

Step 1

Factor $0.04$ out of $0.36 - x^{4} y^{4}$ .

Factor $0.04$ out of $0.36$ .

$0.04 (9) - x^{4} y^{4}$

Factor $0.04$ out of $- x^{4} y^{4}$ .

$0.04 (9) + 0.04 (- 25 x^{4} y^{4})$

Factor $0.04$ out of $0.04 (9) + 0.04 (- 25 x^{4} y^{4})$ .

$0.04 (9 - 25 x^{4} y^{4})$

Step 2

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

$0.04 (3^{2} - 25 x^{4} y^{4})$

Step 3

Rewrite $25 x^{4} y^{4}$ as ${(5 x^{2} y^{2})}^{2}$ .

$0.04 (3^{2} - {(5 x^{2} y^{2})}^{2})$

Step 4

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

$0.04 ((3 + 5 x^{2} y^{2}) (3 - (5 x^{2} y^{2})))$

Step 5

Factor.

Simplify.

Multiply $5$ by $- 1$ .

$0.04 ((3 + 5 x^{2} y^{2}) (3 - 5 (x^{2} y^{2})))$

Remove parentheses.

$0.04 ((3 + 5 x^{2} y^{2}) (3 - 5 x^{2} y^{2}))$

Remove unnecessary parentheses.

$0.04 (3 + 5 x^{2} y^{2}) (3 - 5 x^{2} y^{2})$

Factor 0.36-x^4y^4

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