What is ((1+ce^x)^2)/((1-ce^x)^2) ?

The solution to ((1+ce^x)^2)/((1-ce^x)^2) is ((ce^x+1)^2)/((-ce^x+1)^2)

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simplify ((1+ce^x)^2)/((1-ce^x)^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

42.86 e^{- 0.01045 (0)}

e^{(- 15.16)}

9.87 \cdot 1 0^{- 4}

e^{- \frac{π \cdot 0.03 \cdot 5 \cdot 3.58}{0.001 \cdot 1.008}}

30 (\frac{1}{4}) e^{- 4 (\frac{1}{4})}

What is ((1+ce^x)^2)/((1-ce^x)^2) ?
The solution to ((1+ce^x)^2)/((1-ce^x)^2) is ((ce^x+1)^2)/((-ce^x+1)^2)