Pre-Algebra Examples

$42 x^{10} y^{5} - 36 x^{5} y^{9} - 30 x^{8} y^{7}$

Step 1

Factor $6 x^{5} y^{5}$ out of $42 x^{10} y^{5}$ .

$6 x^{5} y^{5} (7 x^{5}) - 36 x^{5} y^{9} - 30 x^{8} y^{7}$

Step 2

Factor $6 x^{5} y^{5}$ out of $- 36 x^{5} y^{9}$ .

$6 x^{5} y^{5} (7 x^{5}) + 6 x^{5} y^{5} (- 6 y^{4}) - 30 x^{8} y^{7}$

Step 3

Factor $6 x^{5} y^{5}$ out of $- 30 x^{8} y^{7}$ .

$6 x^{5} y^{5} (7 x^{5}) + 6 x^{5} y^{5} (- 6 y^{4}) + 6 x^{5} y^{5} (- 5 x^{3} y^{2})$

Step 4

Factor $6 x^{5} y^{5}$ out of $6 x^{5} y^{5} (7 x^{5}) + 6 x^{5} y^{5} (- 6 y^{4})$ .

$6 x^{5} y^{5} (7 x^{5} - 6 y^{4}) + 6 x^{5} y^{5} (- 5 x^{3} y^{2})$

Step 5

Factor $6 x^{5} y^{5}$ out of $6 x^{5} y^{5} (7 x^{5} - 6 y^{4}) + 6 x^{5} y^{5} (- 5 x^{3} y^{2})$ .

$6 x^{5} y^{5} (7 x^{5} - 6 y^{4} - 5 x^{3} y^{2})$