What is expand (e^{3t}-1)^2 ?

The solution to expand (e^{3t}-1)^2 is e^{6t}-2e^{3t}+1

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expand (e^{3t}-1)^2

expand

(e^{3 t} - 1)^{2}

e^{6 t} - 2 e^{3 t} + 1

Solution steps

(e^{3 t} - 1)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = e^{3 t}, b = 1

= (e^{3 t})^{2} - 2 e^{3 t} \cdot 1 + 1^{2}

Simplify

(e^{3 t})^{2} - 2 e^{3 t} \cdot 1 + 1^{2} : e^{6 t} - 2 e^{3 t} + 1

= e^{6 t} - 2 e^{3 t} + 1

x (x + 1) d x

e^{a t} (H (t - 1) - H (t - 2))

(y e^{x y} + 3 x^{2}) d x + (x e^{x y} - cos (y)) d y

f (x) = (e^{x} + 2 x)^{4}

[(2 x^{2} + x) (5 x)]^{^{'}}

What is expand (e^{3t}-1)^2 ?
The solution to expand (e^{3t}-1)^2 is e^{6t}-2e^{3t}+1