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

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

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

simplify

1 + x^{2} \cdot 1 - x^{2}

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

Solution steps

1 + x^{2} 1 - x^{2}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

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

(4 d^{2} e)^{- 2}

((e^{l n (2 x)} e^{l n (3 x)})^{4})^{\frac{1}{2}}

3.2 \cdot 1 0^{- 5}

e^{(- l n (x))}

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