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

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

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

simplify

x 1 - x x + 1

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

Solution steps

x 1 - x x + 1

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

0.6 \cdot 1 0^{- 25}

(9 \cdot 1 0^{6}) (8 \cdot 1 0^{8})

\frac{16}{24} e^{- 2}

2. 5^{0} (e)^{- 2.5}

e^{- 2 t} e^{- \frac{1}{2} t}

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