Finite Math Examples

$- 2 m^{2} + 9 n^{2} - 5 n - (9 m^{2} - 5 m + 7 n - 9 m^{2} + 4 n^{2})$

Step 1

Combine the opposite terms in $- 2 m^{2} + 9 n^{2} - 5 n - (9 m^{2} - 5 m + 7 n - 9 m^{2} + 4 n^{2})$ .

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Step 1.1

Subtract $9 m^{2}$ from $9 m^{2}$ .

$- 2 m^{2} + 9 n^{2} - 5 n - (- 5 m + 7 n + 0 + 4 n^{2})$

Step 1.2

Add $- 5 m + 7 n$ and $0$ .

$- 2 m^{2} + 9 n^{2} - 5 n - (- 5 m + 7 n + 4 n^{2})$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 2 m^{2} + 9 n^{2} - 5 n - (- 5 m) - (7 n) - (4 n^{2})$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 5$ by $- 1$ .

$- 2 m^{2} + 9 n^{2} - 5 n + 5 m - (7 n) - (4 n^{2})$

Step 2.2.2

Multiply $7$ by $- 1$ .

$- 2 m^{2} + 9 n^{2} - 5 n + 5 m - 7 n - (4 n^{2})$

Step 2.2.3

Multiply $4$ by $- 1$ .

$- 2 m^{2} + 9 n^{2} - 5 n + 5 m - 7 n - 4 n^{2}$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $4 n^{2}$ from $9 n^{2}$ .

$- 2 m^{2} + 5 n^{2} - 5 n + 5 m - 7 n$

Step 3.2

Subtract $7 n$ from $- 5 n$ .

$- 2 m^{2} + 5 n^{2} + 5 m - 12 n$