What is (-5t^3+4t^2-t)-(8t^2+t) ?

The solution to (-5t^3+4t^2-t)-(8t^2+t) is -5t^3-4t^2-2t

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simplify (-5t^3+4t^2-t)-(8t^2+t)

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a + b) = - a - b

- (8 t^{2} + t) = - 8 t^{2} - t

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

Group like terms

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

Add similar elements:

4 t^{2} - 8 t^{2} = - 4 t^{2}

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

Add similar elements:

- t - t = - 2 t

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

(cos (x)) (cos (x))

18 \times 3

\frac{x ^{2} - 5 x + 6}{x - 2}

\frac{1}{x - 6} - \frac{3 x}{x ^{2} - 3 x - 18}

\frac{x - 4}{x - 2}

What is (-5t^3+4t^2-t)-(8t^2+t) ?
The solution to (-5t^3+4t^2-t)-(8t^2+t) is -5t^3-4t^2-2t