What is expand sqrt(9-x^2)*sqrt(x^2-4) ?

The solution to expand sqrt(9-x^2)*sqrt(x^2-4) is sqrt(13x^2-x^4-36)

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expand sqrt(9-x^2)*sqrt(x^2-4)

expand

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

13 x^{2} - x^{4} - 36

Solution steps

9 - x^{2} x^{2} - 4

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x^{2} + 9 x^{2} - 4 = (- x^{2} + 9) (x^{2} - 4)

= (- x^{2} + 9) (x^{2} - 4)

Expand

(9 - x^{2}) (x^{2} - 4) : 13 x^{2} - x^{4} - 36

= 13 x^{2} - x^{4} - 36

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What is expand sqrt(9-x^2)*sqrt(x^2-4) ?
The solution to expand sqrt(9-x^2)*sqrt(x^2-4) is sqrt(13x^2-x^4-36)