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

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

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

simplify

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

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

Solution steps

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

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

6 a^{2} b^{5} c^{2} (8 a^{3} b^{2} - 7 a^{3} b c)

2.75 \cdot 1 0^{- 4} \cdot 5 0^{2}

x \cdot x + x

a e^{- 2 x}

- 0.5 s e^{- 0.5 s}

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