Algebra Examples

$16 a^{4} + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$

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 $16$ out of $16 a^{4} + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$ .

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Step 2.1

Factor $16$ out of $16 a^{4}$ .

$16 (a^{4}) + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$

Step 2.2

Factor $16$ out of $64 a^{3} b^{2}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$

Step 2.3

Factor $16$ out of $96 a^{2} b^{4}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 64 a b^{6} + 16 b^{8}$

Step 2.4

Factor $16$ out of $64 a b^{6}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 b^{8}$

Step 2.5

Factor $16$ out of $16 b^{8}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 (b^{8})$

Step 2.6

Factor $16$ out of $16 (a^{4}) + 16 (4 a^{3} b^{2})$ .

$16 (a^{4} + 4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 (b^{8})$

Step 2.7

Factor $16$ out of $16 (a^{4} + 4 a^{3} b^{2}) + 16 (6 a^{2} b^{4})$ .

$16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 (b^{8})$

Step 2.8

Factor $16$ out of $16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4}) + 16 (4 a b^{6})$ .

$16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4} + 4 a b^{6}) + 16 (b^{8})$

Step 2.9

Factor $16$ out of $16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4} + 4 a b^{6}) + 16 (b^{8})$ .

$16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4} + 4 a b^{6} + b^{8})$