What is 5U(t-2)-3tU(t-5) ?

The solution to 5U(t-2)-3tU(t-5) is 20Ut-10U-3Ut^2

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simplify 5U(t-2)-3tU(t-5)

simplify

5 U (t - 2) - 3 t U (t - 5)

20 U t - 10 U - 3 U t^{2}

Solution steps

5 U (t - 2) - 3 t U (t - 5)

= 5 U (t - 2) - 3 U t (t - 5)

Expand

5 U (t - 2) : 5 U t - 10 U

= 5 U t - 10 U - 3 U t (t - 5)

Expand

- 3 U t (t - 5) : - 3 U t^{2} + 15 U t

= 5 U t - 10 U - 3 U t^{2} + 15 U t

Group like terms

= 5 U t + 15 U t - 10 U - 3 U t^{2}

Add similar elements:

5 U t + 15 U t = 20 U t

= 20 U t - 10 U - 3 U t^{2}

\frac{4}{3} \cdot 3.14 \cdot 4^{3}

f (x) = \frac{1}{2 x ^{\frac{1}{2}}}

\frac{1}{cos ( 2 x )}

\frac{\frac{4}{3}}{( - 1 )}

230 - 220 \cdot 0.5