Finite Math Examples

$- 7 u^{2} - 7 u - 8 + (8 u^{2} + 3 u - 3) - (- 9 u^{2} - 3 u + 7)$

Step 1

Remove parentheses.

$- 7 u^{2} - 7 u - 8 + 8 u^{2} + 3 u - 3 - (- 9 u^{2} - 3 u + 7)$

Step 2

Apply the distributive property.

$- 7 u^{2} - 7 u - 8 + 8 u^{2} + 3 u - 3 - (- 9 u^{2}) - (- 3 u) - 1 \cdot 7$

Step 3

Simplify.

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Step 3.1

Multiply $- 9$ by $- 1$ .

$- 7 u^{2} - 7 u - 8 + 8 u^{2} + 3 u - 3 + 9 u^{2} - (- 3 u) - 1 \cdot 7$

Step 3.2

Multiply $- 3$ by $- 1$ .

$- 7 u^{2} - 7 u - 8 + 8 u^{2} + 3 u - 3 + 9 u^{2} + 3 u - 1 \cdot 7$

Step 3.3

Multiply $- 1$ by $7$ .

$- 7 u^{2} - 7 u - 8 + 8 u^{2} + 3 u - 3 + 9 u^{2} + 3 u - 7$

Step 4

Add $- 7 u^{2}$ and $8 u^{2}$ .

$u^{2} - 7 u - 8 + 3 u - 3 + 9 u^{2} + 3 u - 7$

Step 5

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

$10 u^{2} - 7 u - 8 + 3 u - 3 + 3 u - 7$

Step 6

Add $- 7 u$ and $3 u$ .

$10 u^{2} - 4 u - 8 - 3 + 3 u - 7$

Step 7

Add $- 4 u$ and $3 u$ .

$10 u^{2} - u - 8 - 3 - 7$

Step 8

Subtract $3$ from $- 8$ .

$10 u^{2} - u - 11 - 7$

Step 9

Subtract $7$ from $- 11$ .

$10 u^{2} - u - 18$