What is sqrt(16-x^2)*sqrt(x^2+1) ?

The solution to sqrt(16-x^2)*sqrt(x^2+1) is sqrt((x^2+1)(-x^2+16))

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simplify sqrt(16-x^2)*sqrt(x^2+1)

simplify

16 - x^{2} \cdot x^{2} + 1

(x^{2} + 1) (- x^{2} + 16)

Solution steps

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

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x^{2} + 16 x^{2} + 1 = (- x^{2} + 16) (x^{2} + 1)

= (- x^{2} + 16) (x^{2} + 1)

0 \cdot e^{- j (\frac{2 π}{4}) 1}

\frac{e ^{10 x}}{e ^{3 x}}

- e^{- x} (- 2 sin (2 x))

5.58 \cdot 1 0^{- 8}

What is sqrt(16-x^2)*sqrt(x^2+1) ?
The solution to sqrt(16-x^2)*sqrt(x^2+1) is sqrt((x^2+1)(-x^2+16))