Simplify 7x^2y^2+12xy^2-3x^2y+11+-12xy^2+20x^2y+11xy-5

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

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

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

Step 2

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

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

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

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 3

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 4

Subtract $5$ from $11$ .

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

Simplify 7x^2y^2+12xy^2-3x^2y+11+-12xy^2+20x^2y+11xy-5

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