Pre-Algebra Examples

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

Step 1

Remove parentheses.

$2 x^{2} y - x y^{2} + 6 x^{2} y + 7 x y^{2}$

Step 2

Add $2 x^{2} y$ and $6 x^{2} y$ .

$8 x^{2} y - x y^{2} + 7 x y^{2}$

Step 3

Add $- x y^{2}$ and $7 x y^{2}$ .

$8 x^{2} y + 6 x y^{2}$

Step 4

Factor $2 x y$ out of $8 x^{2} y + 6 x y^{2}$ .

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Step 4.1

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

$2 x y (4 x) + 6 x y^{2}$

Step 4.2

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

$2 x y (4 x) + 2 x y (3 y)$

Step 4.3

Factor $2 x y$ out of $2 x y (4 x) + 2 x y (3 y)$ .

$2 x y (4 x + 3 y)$