What is sqrt((x^2+(y-1)^2))*sqrt(x^2+(y+1)^2) ?

The solution to sqrt((x^2+(y-1)^2))*sqrt(x^2+(y+1)^2) is sqrt((x^2+(y-1)^2)(x^2+(y+1)^2))

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simplify sqrt((x^2+(y-1)^2))*sqrt(x^2+(y+1)^2)

simplify

(x^{2} + (y - 1)^{2}) \cdot x^{2} + (y + 1)^{2}

(x^{2} + (y - 1)^{2}) (x^{2} + (y + 1)^{2})

Solution steps

(x^{2} + (y - 1)^{2}) x^{2} + (y + 1)^{2}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

f (x) = \frac{e ^{- 4 x}}{e ^{4 x}}

x + 2^{2}

(\frac{1}{3})^{4}

\frac{e ^{12 x}}{e ^{\frac{4 x}{3}}}

What is sqrt((x^2+(y-1)^2))*sqrt(x^2+(y+1)^2) ?
The solution to sqrt((x^2+(y-1)^2))*sqrt(x^2+(y+1)^2) is sqrt((x^2+(y-1)^2)(x^2+(y+1)^2))