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} 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)

- 2 x y^{3} z (x^{5} y^{-} 2 z)

(e^{x})^{5}

(e^{x})^{6}

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))