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

The solution to sqrt(4+x)*sqrt(x^2-9) is sqrt((x+4)(x^2-9))

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simplify sqrt(4+x)*sqrt(x^2-9)

simplify

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

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

Solution steps

4 + x x^{2} - 9

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

e^{- c o s (x)} \cdot sin (x)

e^{- (l n (2) + l n (l n (2)))}

(4.29 x 1 0^{15}) (1.51 x 1 0^{- 4})

e^{- 2 x l n (4 + x^{2})}

\frac{21}{41}

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