Pre-Algebra Examples

$25 a^{6} b^{6} - 20 a^{9} b^{9} + 20 a b + 25 a^{9} b$

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 $5 a b$ out of $25 a^{6} b^{6} - 20 a^{9} b^{9} + 20 a b + 25 a^{9} b$ .

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Step 2.1

Factor $5 a b$ out of $25 a^{6} b^{6}$ .

$5 a b (5 a^{5} b^{5}) - 20 a^{9} b^{9} + 20 a b + 25 a^{9} b$

Step 2.2

Factor $5 a b$ out of $- 20 a^{9} b^{9}$ .

$5 a b (5 a^{5} b^{5}) + 5 a b (- 4 a^{8} b^{8}) + 20 a b + 25 a^{9} b$

Step 2.3

Factor $5 a b$ out of $20 a b$ .

$5 a b (5 a^{5} b^{5}) + 5 a b (- 4 a^{8} b^{8}) + 5 a b (4) + 25 a^{9} b$

Step 2.4

Factor $5 a b$ out of $25 a^{9} b$ .

$5 a b (5 a^{5} b^{5}) + 5 a b (- 4 a^{8} b^{8}) + 5 a b (4) + 5 a b (5 a^{8})$

Step 2.5

Factor $5 a b$ out of $5 a b (5 a^{5} b^{5}) + 5 a b (- 4 a^{8} b^{8})$ .

$5 a b (5 a^{5} b^{5} - 4 a^{8} b^{8}) + 5 a b (4) + 5 a b (5 a^{8})$

Step 2.6

Factor $5 a b$ out of $5 a b (5 a^{5} b^{5} - 4 a^{8} b^{8}) + 5 a b (4)$ .

$5 a b (5 a^{5} b^{5} - 4 a^{8} b^{8} + 4) + 5 a b (5 a^{8})$

Step 2.7

Factor $5 a b$ out of $5 a b (5 a^{5} b^{5} - 4 a^{8} b^{8} + 4) + 5 a b (5 a^{8})$ .

$5 a b (5 a^{5} b^{5} - 4 a^{8} b^{8} + 4 + 5 a^{8})$