Write in Standard Form (2t^2+3tv-5v^3)+(-8t^2-tv+4v^3)

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

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Subtract $8 t^{2}$ from $2 t^{2}$ .

$- 6 t^{2} + 3 t v - 5 v^{3} - t v + 4 v^{3}$

Step 3

Subtract $t v$ from $3 t v$ .

$- 6 t^{2} - 5 v^{3} + 2 t v + 4 v^{3}$

Step 4

Add $- 5 v^{3}$ and $4 v^{3}$ .

$- 6 t^{2} - v^{3} + 2 t v$

Step 5

Reorder $- 6 t^{2}$ and $- v^{3}$ .

$- v^{3} - 6 t^{2} + 2 t v$