Algebra Examples

$28 x^{6} y^{2} + 12 x y^{5} - 4 x y^{2} - 8 x y^{4}$

Step 1

Factor $4 x y^{2}$ out of $28 x^{6} y^{2}$ .

$4 x y^{2} (7 x^{5}) + 12 x y^{5} - 4 x y^{2} - 8 x y^{4}$

Step 2

Factor $4 x y^{2}$ out of $12 x y^{5}$ .

$4 x y^{2} (7 x^{5}) + 4 x y^{2} (3 y^{3}) - 4 x y^{2} - 8 x y^{4}$

Step 3

Factor $4 x y^{2}$ out of $- 4 x y^{2}$ .

$4 x y^{2} (7 x^{5}) + 4 x y^{2} (3 y^{3}) + 4 x y^{2} (- 1) - 8 x y^{4}$

Step 4

Factor $4 x y^{2}$ out of $- 8 x y^{4}$ .

$4 x y^{2} (7 x^{5}) + 4 x y^{2} (3 y^{3}) + 4 x y^{2} (- 1) + 4 x y^{2} (- 2 y^{2})$

Step 5

Factor $4 x y^{2}$ out of $4 x y^{2} (7 x^{5}) + 4 x y^{2} (3 y^{3})$ .

$4 x y^{2} (7 x^{5} + 3 y^{3}) + 4 x y^{2} (- 1) + 4 x y^{2} (- 2 y^{2})$

Step 6

Factor $4 x y^{2}$ out of $4 x y^{2} (7 x^{5} + 3 y^{3}) + 4 x y^{2} (- 1)$ .

$4 x y^{2} (7 x^{5} + 3 y^{3} - 1) + 4 x y^{2} (- 2 y^{2})$

Step 7

Factor $4 x y^{2}$ out of $4 x y^{2} (7 x^{5} + 3 y^{3} - 1) + 4 x y^{2} (- 2 y^{2})$ .

$4 x y^{2} (7 x^{5} + 3 y^{3} - 1 - 2 y^{2})$