What is sqrt(3+2x)sqrt(x^2-1)sqrt(3-2x) ?

The solution to sqrt(3+2x)sqrt(x^2-1)sqrt(3-2x) is sqrt((2x+3)(-2x+3)(x^2-1))

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simplify sqrt(3+2x)sqrt(x^2-1)sqrt(3-2x)

simplify

3 + 2 x x^{2} - 1 3 - 2 x

(2 x + 3) (- 2 x + 3) (x^{2} - 1)

Solution steps

3 + 2 x x^{2} - 1 3 - 2 x

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

2 x + 3 x^{2} - 1 - 2 x + 3 = (2 x + 3) (x^{2} - 1) (- 2 x + 3)

= (2 x + 3) (x^{2} - 1) (- 2 x + 3)

(4 a^{3} b^{5}) (2 a^{2} b^{4})

e^{- 2.1}

4 e^{- \frac{( - 1 )}{3}}

4.5 \cdot 1 0^{- 9} \cdot 0.0037

What is sqrt(3+2x)sqrt(x^2-1)sqrt(3-2x) ?
The solution to sqrt(3+2x)sqrt(x^2-1)sqrt(3-2x) is sqrt((2x+3)(-2x+3)(x^2-1))