What is sqrt(x^2+2xh+h^2-3)sqrt(x^2-3) ?

The solution to sqrt(x^2+2xh+h^2-3)sqrt(x^2-3) is sqrt((x^2-3)(x^2+2xh+h^2-3))

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simplify sqrt(x^2+2xh+h^2-3)sqrt(x^2-3)

simplify

x^{2} + 2 x h + h^{2} - 3 x^{2} - 3

(x^{2} - 3) (x^{2} + 2 x h + h^{2} - 3)

Solution steps

x^{2} + 2 x h + h^{2} - 3 x^{2} - 3

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x^{2} + 2 x h + h^{2} - 3 x^{2} - 3 = (x^{2} + 2 x h + h^{2} - 3) (x^{2} - 3)

= (x^{2} + 2 x h + h^{2} - 3) (x^{2} - 3)

(2.35 - 1) (8.8542 \cdot 1 0^{- 12}) (8 \cdot 1 0^{3})

8.854 \times 1 0^{- 12} \times \frac{0.1}{0.0005}

f (x) = arccot (sin (x)) x

\frac{5 + x + 9}{3 - x}

e^{3 t} \cdot (- 2) e^{- 2 t}

What is sqrt(x^2+2xh+h^2-3)sqrt(x^2-3) ?
The solution to sqrt(x^2+2xh+h^2-3)sqrt(x^2-3) is sqrt((x^2-3)(x^2+2xh+h^2-3))