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

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

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

simplify

1 - x \cdot 1 + x

(- x + 1) (x + 1)

Solution steps

1 - x 1 + x

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x + 1 x + 1 = (- x + 1) (x + 1)

= (- x + 1) (x + 1)

- 3 x^{3} y^{2} (12 y^{4})

- 2 x e^{- x^{2}}

x e^{- 7 x}

(x^{10} y z^{3}) (3 x^{3} y z^{3})

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