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Popular >

simplify (e^{2x}-1)/(e^x-1)

Solution

simplify

\frac{e ^{2 x} - 1}{e ^{x} - 1}

Solution

e^{x} + 1

Solution steps

\frac{e ^{2 x} - 1}{e ^{x} - 1}

Factor

e^{2 x} - 1 : (e^{x} + 1) (e^{x} - 1)

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

Cancel the common factor:

e^{x} - 1

= e^{x} + 1

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Frequently Asked Questions (FAQ)

What is (e^{2x}-1)/(e^x-1) ?
The solution to (e^{2x}-1)/(e^x-1) is e^x+1