Pre-Algebra Examples

$- 5 u^{3} v^{4} + 9 u + (- 5 u^{3} v^{4} - 8 u + 8 u^{2} v^{2}) + (- 8 u^{4} v^{2} + 8 u^{3} v^{4})$

Step 1

Remove parentheses.

$- 5 u^{3} v^{4} + 9 u - 5 u^{3} v^{4} - 8 u + 8 u^{2} v^{2} - 8 u^{4} v^{2} + 8 u^{3} v^{4}$

Step 2

Subtract $5 u^{3} v^{4}$ from $- 5 u^{3} v^{4}$ .

$- 10 u^{3} v^{4} + 9 u - 8 u + 8 u^{2} v^{2} - 8 u^{4} v^{2} + 8 u^{3} v^{4}$

Step 3

Add $- 10 u^{3} v^{4}$ and $8 u^{3} v^{4}$ .

$- 2 u^{3} v^{4} + 9 u - 8 u + 8 u^{2} v^{2} - 8 u^{4} v^{2}$

Step 4

Subtract $8 u$ from $9 u$ .

$- 2 u^{3} v^{4} + u + 8 u^{2} v^{2} - 8 u^{4} v^{2}$

Step 5

Reorder.

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Step 5.1

Move $u$ .

$- 2 u^{3} v^{4} + 8 u^{2} v^{2} - 8 u^{4} v^{2} + u$

Step 5.2

Move $8 u^{2} v^{2}$ .

$- 2 u^{3} v^{4} - 8 u^{4} v^{2} + 8 u^{2} v^{2} + u$