Algebra Examples

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

Step 1

Remove parentheses.

$4 x^{2} y - 5 x y^{2} + 2 x^{2} y^{2} + 2 x y + 2 x^{2} y + 4 x y + 2 x y^{2} - 2 x^{2} y^{2}$

Step 2

Combine the opposite terms in $4 x^{2} y - 5 x y^{2} + 2 x^{2} y^{2} + 2 x y + 2 x^{2} y + 4 x y + 2 x y^{2} - 2 x^{2} y^{2}$ .

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Step 2.1

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

$4 x^{2} y - 5 x y^{2} + 2 x y + 2 x^{2} y + 4 x y + 2 x y^{2} + 0$

Step 2.2

Add $4 x^{2} y - 5 x y^{2} + 2 x y + 2 x^{2} y + 4 x y + 2 x y^{2}$ and $0$ .

$4 x^{2} y - 5 x y^{2} + 2 x y + 2 x^{2} y + 4 x y + 2 x y^{2}$

Step 3

Add $4 x^{2} y$ and $2 x^{2} y$ .

$6 x^{2} y - 5 x y^{2} + 2 x y + 4 x y + 2 x y^{2}$

Step 4

Add $- 5 x y^{2}$ and $2 x y^{2}$ .

$6 x^{2} y - 3 x y^{2} + 2 x y + 4 x y$

Step 5

Add $2 x y$ and $4 x y$ .

$6 x^{2} y - 3 x y^{2} + 6 x y$