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

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

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

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

Simplify each term.

Apply the distributive property.

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

Multiply $8$ by $- 1$ .

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

Simplify by adding terms.

Subtract $8 t^{2}$ from $4 t^{2}$ .

$- 5 t^{3} - 4 t^{2} - t - t$

Subtract $t$ from $- t$ .

$- 5 t^{3} - 4 t^{2} - 2 t$