Pre-Algebra Examples

$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$

Step 1

Combine the opposite terms in $7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$ .

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Step 1.1

Subtract $12 x y^{2}$ from $12 x y^{2}$ .

$7 x^{2} y^{2} - 3 x^{2} y + 11 + 0 + 20 x^{2} y + 11 x y - 5$

Step 1.2

Add $7 x^{2} y^{2} - 3 x^{2} y + 11$ and $0$ .

$7 x^{2} y^{2} - 3 x^{2} y + 11 + 20 x^{2} y + 11 x y - 5$

Step 2

Add $- 3 x^{2} y$ and $20 x^{2} y$ .

$7 x^{2} y^{2} + 17 x^{2} y + 11 + 11 x y - 5$

Step 3

Subtract $5$ from $11$ .

$7 x^{2} y^{2} + 17 x^{2} y + 11 x y + 6$