What is factor e^{jw}-e^{-jw} ?

The solution to factor e^{jw}-e^{-jw} is e^{-jw}(e^{jw}+1)(e^{jw}-1)

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factor e^{jw}-e^{-jw}

factor

e^{j w} - e^{- j w}

e^{- j w} (e^{j w} + 1) (e^{j w} - 1)

Solution steps

e^{j w} - e^{- j w}

Apply exponent rule:

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

e^{j w} = e^{- j w} e^{2 j w}

= e^{- j w} e^{2 j w} - e^{- j w}

Factor out common term

e^{- j w}

= e^{- j w} (e^{2 j w} - 1)

Factor

e^{2 j w} - 1 : (e^{j w} + 1) (e^{j w} - 1)

= e^{- j w} (e^{j w} + 1) (e^{j w} - 1)

f (E) = E

i s in g x^{2} - 5 x + 25

(F_{(13)})^{(2)} - 4 F_{(20)}

5 + 7 (a + 1) - 6 (a + 1)^{2}

m (x y cos (3 0^{\circ}))

What is factor e^{jw}-e^{-jw} ?
The solution to factor e^{jw}-e^{-jw} is e^{-jw}(e^{jw}+1)(e^{jw}-1)