What is expand (tsin(t))*(sin(t)+tcos(t)) ?

The solution to expand (tsin(t))*(sin(t)+tcos(t)) is tsin^2(t)+t^2cos(t)sin(t)

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expand (tsin(t))*(sin(t)+tcos(t))

expand

(t sin (t)) \cdot (sin (t) + t cos (t))

t sin^{2} (t) + t^{2} cos (t) sin (t)

Solution steps

(t sin (t)) (sin (t) + t cos (t))

Apply the distributive law:

a (b + c) = ab + a c

(t sin (t)) (sin (t) + t cos (t)) = t sin (t) sin (t) + t sin (t) t cos (t)

= t sin (t) sin (t) + t sin (t) t cos (t)

Simplify

t sin (t) sin (t) + t sin (t) t cos (t) : t sin^{2} (t) + t^{2} cos (t) sin (t)

= t sin^{2} (t) + t^{2} cos (t) sin (t)

\frac{1 - e ^{- s}}{s ( s ^{2} + 2 s + 26 )}

(1 + 2 sin (2 x))^{2}

2 (4 - 22)

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(cot (x) + 1) (2 (sin (x)) + 3)

What is expand (tsin(t))*(sin(t)+tcos(t)) ?
The solution to expand (tsin(t))*(sin(t)+tcos(t)) is tsin^2(t)+t^2cos(t)sin(t)