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

The solution to expand (e^{2x}+3)^2 is e^{4x}+6e^{2x}+9

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

expand

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

e^{4 x} + 6 e^{2 x} + 9

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(e^{2 x})^{2} + 2 e^{2 x} \cdot 3 + 3^{2} : e^{4 x} + 6 e^{2 x} + 9

= e^{4 x} + 6 e^{2 x} + 9

\frac{x + 5}{( x + 3 ) ( x - 2 )}

2 \cdot (- 8 i + 6 n_{0})

(1 + 1 0^{- 35} - 1) \cdot 1 0^{35} + 1

\frac{s ^{2} - 4}{( s ^{2} + 4 ) ^{2}}

(- 2 x + 3) (3 x^{2} + 5 x - 1)^{'}

What is expand (e^{2x}+3)^2 ?
The solution to expand (e^{2x}+3)^2 is e^{4x}+6e^{2x}+9