Algebra Examples

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1$ $5 x^{2} y^{2} - 15 x y - 11$

Step 1

Subtract the second expression $5 x^{2} y^{2} - 15 x y - 11$ from the first expression $- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1$ .

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - (5 x^{2} y^{2} - 15 x y - 11)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - (5 x^{2} y^{2}) - (- 15 x y) - - 11$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $5$ by $- 1$ .

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 5 (x^{2} y^{2}) - (- 15 x y) - - 11$

Step 2.2.2

Multiply $- 15$ by $- 1$ .

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 5 (x^{2} y^{2}) + 15 (x y) - - 11$

Step 2.2.3

Multiply $- 1$ by $- 11$ .

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 5 (x^{2} y^{2}) + 15 (x y) + 11$

Step 2.3

Remove parentheses.

$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 5 x^{2} y^{2} + 15 x y + 11$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $5 x^{2} y^{2}$ from $- 9 x^{2} y^{2}$ .

$- 14 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 + 15 x y + 11$

Step 3.2

Add $- 11 x y$ and $15 x y$ .

$- 14 x^{2} y^{2} + 5 x^{2} y + 4 x y + 1 + 11$

Step 3.3

Add $1$ and $11$ .

$- 14 x^{2} y^{2} + 5 x^{2} y + 4 x y + 12$