What is expand (e^{3t}+5)^2 ?

The solution to expand (e^{3t}+5)^2 is e^{6t}+10e^{3t}+25

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expand (e^{3t}+5)^2

expand

(e^{3 t} + 5)^{2}

e^{6 t} + 10 e^{3 t} + 25

Solution steps

(e^{3 t} + 5)^{2}

Apply Perfect Square Formula:

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

a = e^{3 t}, b = 5

= (e^{3 t})^{2} + 2 e^{3 t} \cdot 5 + 5^{2}

Simplify

(e^{3 t})^{2} + 2 e^{3 t} \cdot 5 + 5^{2} : e^{6 t} + 10 e^{3 t} + 25

= e^{6 t} + 10 e^{3 t} + 25

\frac{x \cdot ( x + 20 ) ^{3}}{( e \cdot x + 1 ) ^{3} \cdot ( - x + 1 )}

\frac{[ ( 1 - x ^{2} ) ]}{[ x ( 1 - 2 x ) ]}

\frac{d}{d x} ((- x^{2} + 5 x - 6) \cdot 4^{x}) + 3

\frac{4}{x ^{2} ( x + 2 )}

\frac{16 ( 2 x ^{3} - 1 )}{8 x ^{3} + 1}

What is expand (e^{3t}+5)^2 ?
The solution to expand (e^{3t}+5)^2 is e^{6t}+10e^{3t}+25