What is sqrt((4-x^2))*sqrt((x-1)) ?

The solution to sqrt((4-x^2))*sqrt((x-1)) is sqrt((x-1)(-x^2+4))

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simplify sqrt((4-x^2))*sqrt((x-1))

simplify

(4 - x^{2}) \cdot (x - 1)

(x - 1) (- x^{2} + 4)

Solution steps

(4 - x^{2}) (x - 1)

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x^{2} + 4 x - 1 = (- x^{2} + 4) (x - 1)

= (- x^{2} + 4) (x - 1)

2^{x} 0. 3^{x}

(1000) (2.2 \cdot 1 0^{- 5}) (10)

e^{- 0.04 \cdot 0.75}

e^{- 19.1903}

e^{- 7.5 \cdot 7}

What is sqrt((4-x^2))*sqrt((x-1)) ?
The solution to sqrt((4-x^2))*sqrt((x-1)) is sqrt((x-1)(-x^2+4))