Pre-Algebra Examples

$- 3 u^{2} - 5 u - 2 + (- 6 u^{2} - 2 u + 7) - (- 5 u^{2} + 2 u + 8)$

Step 1

Remove parentheses.

$- 3 u^{2} - 5 u - 2 - 6 u^{2} - 2 u + 7 - (- 5 u^{2} + 2 u + 8)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 3 u^{2} - 5 u - 2 - 6 u^{2} - 2 u + 7 - (- 5 u^{2}) - (2 u) - 1 \cdot 8$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 5$ by $- 1$ .

$- 3 u^{2} - 5 u - 2 - 6 u^{2} - 2 u + 7 + 5 u^{2} - (2 u) - 1 \cdot 8$

Step 2.2.2

Multiply $2$ by $- 1$ .

$- 3 u^{2} - 5 u - 2 - 6 u^{2} - 2 u + 7 + 5 u^{2} - 2 u - 1 \cdot 8$

Step 2.2.3

Multiply $- 1$ by $8$ .

$- 3 u^{2} - 5 u - 2 - 6 u^{2} - 2 u + 7 + 5 u^{2} - 2 u - 8$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $6 u^{2}$ from $- 3 u^{2}$ .

$- 9 u^{2} - 5 u - 2 - 2 u + 7 + 5 u^{2} - 2 u - 8$

Step 3.2

Add $- 9 u^{2}$ and $5 u^{2}$ .

$- 4 u^{2} - 5 u - 2 - 2 u + 7 - 2 u - 8$

Step 3.3

Subtract $2 u$ from $- 5 u$ .

$- 4 u^{2} - 7 u - 2 + 7 - 2 u - 8$

Step 3.4

Subtract $2 u$ from $- 7 u$ .

$- 4 u^{2} - 9 u - 2 + 7 - 8$

Step 3.5

Simplify by adding and subtracting.

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Step 3.5.1

Add $- 2$ and $7$ .

$- 4 u^{2} - 9 u + 5 - 8$

Step 3.5.2

Subtract $8$ from $5$ .

$- 4 u^{2} - 9 u - 3$