What is factor sqrt((1-y^2)/(e^x)) ?

The solution to factor sqrt((1-y^2)/(e^x)) is isqrt((-1+y^2)/(e^x))

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factor sqrt((1-y^2)/(e^x))

factor

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

i \frac{- 1 + y ^{2}}{e ^{x}}

Solution steps

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

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

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

Apply the fraction rule:

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

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

Apply radical rule:

- a = - 1 a,

assuming

a \geq 0

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

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

Apply imaginary number rule:

- 1 = i

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

Rewrite

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

in standard complex form:

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

= \frac{y ^{2} - 1}{e ^{x}} i

\frac{x ^{2} - 1}{x ^{2}} \geq 0

∣ 5 x - 5 ∣ < - 25

5 (x + 7) - 3 (x - 4) = 7 x + 2

4 y^{2} = 48

8 (- 3) - 2 (- 6) < - 12

What is factor sqrt((1-y^2)/(e^x)) ?
The solution to factor sqrt((1-y^2)/(e^x)) is isqrt((-1+y^2)/(e^x))