Precalculus Examples

$25 x^{4} y + 15 x^{3} y + 5 x^{2} y$

Step 1

Factor $5 x^{2} y$ out of $25 x^{4} y$ .

$5 x^{2} y (5 x^{2}) + 15 x^{3} y + 5 x^{2} y$

Step 2

Factor $5 x^{2} y$ out of $15 x^{3} y$ .

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

Step 3

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

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

Step 4

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

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

Step 5

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

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