Algebra Examples

$(5 x^{3} y^{2} - 3 x y + 2) + (2 x^{3} y^{2} - 3 x^{2} y^{2} + 4 x y - 7)$

Step 1

Remove parentheses.

$5 x^{3} y^{2} - 3 x y + 2 + 2 x^{3} y^{2} - 3 x^{2} y^{2} + 4 x y - 7$

Step 2

Add $5 x^{3} y^{2}$ and $2 x^{3} y^{2}$ .

$7 x^{3} y^{2} - 3 x y + 2 - 3 x^{2} y^{2} + 4 x y - 7$

Step 3

Add $- 3 x y$ and $4 x y$ .

$7 x^{3} y^{2} + 1 x y + 2 - 3 x^{2} y^{2} - 7$

Step 4

Simplify the expression.

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Step 4.1

Multiply $x$ by $1$ .

$7 x^{3} y^{2} + x y + 2 - 3 x^{2} y^{2} - 7$

Step 4.2

Subtract $7$ from $2$ .

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