What is expand 2sin(pit)(u_{4}(t)-u_{5}(t)) ?

The solution to expand 2sin(pit)(u_{4}(t)-u_{5}(t)) is 2tu_{4}sin(pit)-2tu_{5}sin(pit)

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expand 2sin(pit)(u_{4}(t)-u_{5}(t))

expand

2 sin (π t) (u_{4} (t) - u_{5} (t))

2 t u_{4} sin (π t) - 2 t u_{5} sin (π t)

Solution steps

2 sin (π t) (u_{4} (t) - u_{5} (t))

= 2 sin (π t) ((t) u_{4} - (t) u_{5})

Apply the distributive law:

a (b - c) = ab - a c

a = 2 sin (π t), b = u_{4} (t), c = u_{5} (t)

= 2 sin (π t) u_{4} (t) - 2 sin (π t) u_{5} (t)

= 2 (t) u_{4} sin (π t) - 2 (t) u_{5} sin (π t)

Remove parentheses:

(a) = a

= 2 t u_{4} sin (π t) - 2 t u_{5} sin (π t)

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e^{y} (y^{2} - x^{2})

What is expand 2sin(pit)(u_{4}(t)-u_{5}(t)) ?
The solution to expand 2sin(pit)(u_{4}(t)-u_{5}(t)) is 2tu_{4}sin(pit)-2tu_{5}sin(pit)