What is expand (cos(pit))(-pisin(pit))+(4e^t+5)(e^t) ?

The solution to expand (cos(pit))(-pisin(pit))+(4e^t+5)(e^t) is -cos(pit)pisin(pit)+4e^{2t}+5e^t

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expand (cos(pit))(-pisin(pit))+(4e^t+5)(e^t)

expand

(cos (π t)) (- π sin (π t)) + (4 e^{t} + 5) (e^{t})

- cos (π t) π sin (π t) + 4 e^{2 t} + 5 e^{t}

Solution steps

(cos (π t)) (- π sin (π t)) + (4 e^{t} + 5) (e^{t})

= (cos (π t)) (- π sin (π t)) + (e^{t}) (4 e^{t} + 5)

Expand

(e^{t}) (4 e^{t} + 5) : 4 e^{2 t} + 5 e^{t}

= (cos (π t)) (- π sin (π t)) + 4 e^{2 t} + 5 e^{t}

Remove parentheses:

(a) = a

= - cos (π t) π sin (π t) + 4 e^{2 t} + 5 e^{t}

f cos (x) (1 + 5 sin (x))^{3}

(33 - x)^{2}

- 1 + \frac{π ( x ^{2} + 1 )}{4}

\frac{( x + 1 ) ( x - 2 )}{( x + 2 )}

4 (\frac{3}{2} + 3 x)

What is expand (cos(pit))(-pisin(pit))+(4e^t+5)(e^t) ?
The solution to expand (cos(pit))(-pisin(pit))+(4e^t+5)(e^t) is -cos(pit)pisin(pit)+4e^{2t}+5e^t