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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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

\frac{1}{( x - 1 ) \cdot ( x - a )}

2 A - C (A = 8, - 17) (C = - 4, - 9)

2 (3 - e^{- 0.05 x})

6 (4 - π) u^{2}

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