Algebra Examples

$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (4 x y - 13 x^{2} y + 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - (4 x y) - (- 13 x^{2} y) - 1 \cdot 7$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 4 (x y) - (- 13 x^{2} y) - 1 \cdot 7$

Step 1.2.2

Multiply $- 13$ by $- 1$ .

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 4 (x y) + 13 (x^{2} y) - 1 \cdot 7$

Step 1.2.3

Multiply $- 1$ by $7$ .

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 4 (x y) + 13 (x^{2} y) - 7$

Step 1.3

Remove parentheses.

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 4 x y + 13 x^{2} y - 7$

Step 2

Simplify by adding terms.

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Step 2.1

Add $5 x^{2} y$ and $13 x^{2} y$ .

$- 9 x^{2} y^{2} + 18 x^{2} y - 11 x y + 1 - 4 x y - 7$

Step 2.2

Subtract $4 x y$ from $- 11 x y$ .

$- 9 x^{2} y^{2} + 18 x^{2} y - 15 x y + 1 - 7$

Step 2.3

Subtract $7$ from $1$ .

$- 9 x^{2} y^{2} + 18 x^{2} y - 15 x y - 6$