What is expand sqrt((e^t-1)^2+(2e^{t/2))} ?

The solution to expand sqrt((e^t-1)^2+(2e^{t/2))} is sqrt(e^{2t)-2e^t+1+2e^{t/2}}

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expand sqrt((e^t-1)^2+(2e^{t/2))}

expand

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

e^{2 t} - 2 e^{t} + 1 + 2 e^{\frac{t}{2}}

Solution steps

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

Remove parentheses:

(a) = a

= (e^{t} - 1)^{2} + 2 e^{\frac{t}{2}}

Expand

(e^{t} - 1)^{2} + 2 e^{\frac{t}{2}} : e^{2 t} - 2 e^{t} + 1 + 2 e^{\frac{t}{2}}

= e^{2 t} - 2 e^{t} + 1 + 2 e^{\frac{t}{2}}

P (1, - 3) y Q (- 5, 5)

(x + 2 y) d x + (2 x + y) d y

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

\frac{2 ( 15 - 15 )}{21}

What is expand sqrt((e^t-1)^2+(2e^{t/2))} ?
The solution to expand sqrt((e^t-1)^2+(2e^{t/2))} is sqrt(e^{2t)-2e^t+1+2e^{t/2}}