Simplify (u^4v^3-14uv^4)+(2uv^4-9v^4-11u^4v^3)+(-8u^4v^3+9v^4)

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

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

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

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

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 $2 u v^{4}$ .

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