Algebra Examples

$(u^{4} v^{3} - 14 u v^{4}) + (2 u v^{4} - 9 v^{4} - 11 u^{4} v^{3}) + (- 8 u^{4} v^{3} + 9 v^{4})$

Step 1

Remove parentheses.

$u^{4} v^{3} - 14 u v^{4} + 2 u v^{4} - 9 v^{4} - 11 u^{4} v^{3} - 8 u^{4} v^{3} + 9 v^{4}$

Step 2

Combine the opposite terms in $u^{4} v^{3} - 14 u v^{4} + 2 u v^{4} - 9 v^{4} - 11 u^{4} v^{3} - 8 u^{4} v^{3} + 9 v^{4}$ .

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Step 2.1

Add $- 9 v^{4}$ and $9 v^{4}$ .

$u^{4} v^{3} - 14 u v^{4} + 2 u v^{4} - 11 u^{4} v^{3} - 8 u^{4} v^{3} + 0$

Step 2.2

Add $u^{4} v^{3} - 14 u v^{4} + 2 u v^{4} - 11 u^{4} v^{3} - 8 u^{4} v^{3}$ and $0$ .

$u^{4} v^{3} - 14 u v^{4} + 2 u v^{4} - 11 u^{4} v^{3} - 8 u^{4} v^{3}$

Step 3

Subtract $11 u^{4} v^{3}$ from $u^{4} v^{3}$ .

$- 10 u^{4} v^{3} - 14 u v^{4} + 2 u v^{4} - 8 u^{4} v^{3}$

Step 4

Subtract $8 u^{4} v^{3}$ from $- 10 u^{4} v^{3}$ .

$- 18 u^{4} v^{3} - 14 u v^{4} + 2 u v^{4}$

Step 5

Add $- 14 u v^{4}$ and $2 u v^{4}$ .

$- 18 u^{4} v^{3} - 12 u v^{4}$