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

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

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

simplify

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

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

Solution steps

16 - x^{2} x + 1

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

e^{(- 4)}

e^{(- 2)}

k^{0.5} \cdot (4 k)^{0.5}

f \circ f^{- 1}

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