What is sqrt(1+x)\times sqrt(1-x) ?

The solution to sqrt(1+x)\times sqrt(1-x) is sqrt((x+1)(-x+1))

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simplify sqrt(1+x)\times 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)

2 e^{2 t} \cdot e^{2 t}

(2 x - y) (2 x + 3 y)

2 21^{2}

4^{x} \cdot 2^{x}

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