Finite Math Examples

$- 6 u^{2} + 4 u + 9 + (- 3 u^{2} + 6 u + 1) - (- 6 u^{2} + 7 u + 7)$

Step 1

Remove parentheses.

$- 6 u^{2} + 4 u + 9 - 3 u^{2} + 6 u + 1 - (- 6 u^{2} + 7 u + 7)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 6 u^{2} + 4 u + 9 - 3 u^{2} + 6 u + 1 - (- 6 u^{2}) - (7 u) - 1 \cdot 7$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 6$ by $- 1$ .

$- 6 u^{2} + 4 u + 9 - 3 u^{2} + 6 u + 1 + 6 u^{2} - (7 u) - 1 \cdot 7$

Step 2.2.2

Multiply $7$ by $- 1$ .

$- 6 u^{2} + 4 u + 9 - 3 u^{2} + 6 u + 1 + 6 u^{2} - 7 u - 1 \cdot 7$

Step 2.2.3

Multiply $- 1$ by $7$ .

$- 6 u^{2} + 4 u + 9 - 3 u^{2} + 6 u + 1 + 6 u^{2} - 7 u - 7$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $- 6 u^{2} + 4 u + 9 - 3 u^{2} + 6 u + 1 + 6 u^{2} - 7 u - 7$ .

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Step 3.1.1

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

$4 u + 9 - 3 u^{2} + 6 u + 1 + 0 - 7 u - 7$

Step 3.1.2

Add $4 u + 9 - 3 u^{2} + 6 u + 1$ and $0$ .

$4 u + 9 - 3 u^{2} + 6 u + 1 - 7 u - 7$

Step 3.2

Add $4 u$ and $6 u$ .

$10 u + 9 - 3 u^{2} + 1 - 7 u - 7$

Step 3.3

Subtract $7 u$ from $10 u$ .

$3 u + 9 - 3 u^{2} + 1 - 7$

Step 3.4

Simplify the expression.

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Step 3.4.1

Add $9$ and $1$ .

$3 u - 3 u^{2} + 10 - 7$

Step 3.4.2

Subtract $7$ from $10$ .

$3 u - 3 u^{2} + 3$

Step 3.4.3

Reorder $3 u$ and $- 3 u^{2}$ .

$- 3 u^{2} + 3 u + 3$