What is expand (1+ce^{2x})^2 ?

The solution to expand (1+ce^{2x})^2 is 1+2ce^{2x}+c^2e^{4x}

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expand (1+ce^{2x})^2

expand

(1 + c e^{2 x})^{2}

1 + 2 c e^{2 x} + c^{2} e^{4 x}

Solution steps

(1 + c e^{2 x})^{2}

Apply Perfect Square Formula:

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

a = 1, b = c e^{2 x}

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

Simplify

1^{2} + 2 \cdot 1 \cdot c e^{2 x} + (c e^{2 x})^{2} : 1 + 2 c e^{2 x} + c^{2} e^{4 x}

= 1 + 2 c e^{2 x} + c^{2} e^{4 x}

\frac{1}{2} (- 3 ln (2) - 1)

\frac{2 π s}{( s ^{2} + π ^{2} ) ^{2}}

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

\frac{1}{2} (2 - ln (2 + 1))

(2 q + r)^{\frac{2}{3}}

What is expand (1+ce^{2x})^2 ?
The solution to expand (1+ce^{2x})^2 is 1+2ce^{2x}+c^2e^{4x}