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)

(10 a^{5}) (2 a^{3})

e^{2 x} \cdot (- 2) e^{- 2 x}

e^{3 x} \times 2 e^{2 x}

(f \circ g^{- 1})^{- 1}

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))