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

The solution to expand (2t-e^{3t})^2 is 4t^2-4e^{3t}t+e^{6t}

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

expand

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

4 t^{2} - 4 e^{3 t} t + e^{6 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = 2 t, b = e^{3 t}

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

Simplify

(2 t)^{2} - 2 \cdot 2 t e^{3 t} + (e^{3 t})^{2} : 4 t^{2} - 4 e^{3 t} t + e^{6 t}

= 4 t^{2} - 4 e^{3 t} t + e^{6 t}

\frac{( 2 - x ) \cdot n}{x}

(cos (2 π x) + i sin (2 π x))^{3}

(e + s + k - 2 c) (e + s + k - 2 c)

\frac{tan ( x ) ( 3 - tan ^{2} ( x ) )}{1 - 3 tan ^{2} ( x )}

\frac{1}{( ( x ^{2} - 2 \cdot x + 2 ) \cdot x )}

What is expand (2t-e^{3t})^2 ?
The solution to expand (2t-e^{3t})^2 is 4t^2-4e^{3t}t+e^{6t}