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Popular Algebra >

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

Solution

simplify

reso l v er \frac{2}{e ^{x^{2}} - e ^{- x^{2}}}

Solution

\frac{2 l e ^{x^{2} + 2} r ^{2} so v}{e ^{2 x^{2}} - 1}

Solution steps

reso l v er \frac{2}{e ^{x^{2}} - e ^{- x^{2}}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

ee = e^{1 + 1}

= rso l v e^{1 + 1} r \frac{2}{e ^{x^{2}} - e ^{- x^{2}}}

Add the numbers:

1 + 1 = 2

= rso l v e^{2} r \frac{2}{e ^{x^{2}} - e ^{- x^{2}}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

rr = r^{1 + 1}

= so l v e^{2} r^{1 + 1} \frac{2}{e ^{x^{2}} - e ^{- x^{2}}}

Add the numbers:

1 + 1 = 2

= so l v e^{2} r^{2} \frac{2}{e ^{x^{2}} - e ^{- x^{2}}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 so l v e ^{2} r ^{2}}{e ^{x^{2}} - e ^{- x^{2}}}

Factor

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

= \frac{2 so l v e ^{2} r ^{2}}{e ^{- x^{2}} ( e ^{2 x^{2}} - 1 )}

Cancel

\frac{2 so l v e ^{2} r ^{2}}{e ^{- x^{2}} ( e ^{2 x^{2}} - 1 )} : \frac{2 so l v e ^{2 + x^{2}} r ^{2}}{e ^{2 x^{2}} - 1}

= \frac{2 so l v e ^{2 + x^{2}} r ^{2}}{e ^{2 x^{2}} - 1}

= \frac{2 l e ^{x^{2} + 2} r ^{2} so v}{e ^{2 x^{2}} - 1}

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Frequently Asked Questions (FAQ)

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

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