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)

(9 x^{6} y^{4} z) (y^{6} z) (6 x^{3})

\frac{n ^{7}}{( n + 1 ) ^{7}}

0.1 \cdot 1 0^{- 2}

(4 x)^{3}

0.1 \cdot 1 0^{- 4}

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))