Finite Math Examples

$(- 8 u^{2} + 8 u - 3) - (- 2 u^{2} + 6 u - 5) + (5 u^{2} - 9 + 8)$

Step 1

Remove parentheses.

$(- 8 u^{2} + 8 u - 3) - (- 2 u^{2} + 6 u - 5) + 5 u^{2} - 9 + 8$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 8 u^{2} + 8 u - 3 - (- 2 u^{2}) - (6 u) - - 5 + 5 u^{2} - 9 + 8$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 2$ by $- 1$ .

$- 8 u^{2} + 8 u - 3 + 2 u^{2} - (6 u) - - 5 + 5 u^{2} - 9 + 8$

Step 2.2.2

Multiply $6$ by $- 1$ .

$- 8 u^{2} + 8 u - 3 + 2 u^{2} - 6 u - - 5 + 5 u^{2} - 9 + 8$

Step 2.2.3

Multiply $- 1$ by $- 5$ .

$- 8 u^{2} + 8 u - 3 + 2 u^{2} - 6 u + 5 + 5 u^{2} - 9 + 8$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 8 u^{2}$ and $2 u^{2}$ .

$- 6 u^{2} + 8 u - 3 - 6 u + 5 + 5 u^{2} - 9 + 8$

Step 3.2

Add $- 6 u^{2}$ and $5 u^{2}$ .

$- u^{2} + 8 u - 3 - 6 u + 5 - 9 + 8$

Step 3.3

Subtract $6 u$ from $8 u$ .

$- u^{2} + 2 u - 3 + 5 - 9 + 8$

Step 3.4

Simplify by adding and subtracting.

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Step 3.4.1

Add $- 3$ and $5$ .

$- u^{2} + 2 u + 2 - 9 + 8$

Step 3.4.2

Subtract $9$ from $2$ .

$- u^{2} + 2 u - 7 + 8$

Step 3.4.3

Add $- 7$ and $8$ .

$- u^{2} + 2 u + 1$