What is sqrt(x^2-1)*2*sqrt((x^2-1)^3) ?

The solution to sqrt(x^2-1)*2*sqrt((x^2-1)^3) is 2(x^2-1)^2

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simplify sqrt(x^2-1)2sqrt((x^2-1)^3)

simplify

x^{2} - 1 \cdot 2 \cdot (x^{2} - 1)^{3}

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

Solution steps

x^{2} - 1 \cdot 2 (x^{2} - 1)^{3}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

(x^{2} - 1)^{3} x^{2} - 1 = (x^{2} - 1) (x^{2} - 1)^{3}

= 2 (x^{2} - 1) (x^{2} - 1)^{3}

Simplify

(x^{2} - 1) (x^{2} - 1)^{3} : (x^{2} - 1)^{4}

= 2 (x^{2} - 1)^{4}

(x^{2} - 1)^{4} = (x^{2} - 1)^{2}

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

x^{8 \circ} x^{5}

- 1.7 e^{- 0.2 (5)}

e^{- 2 t} (e^{- 2 t} - 2 t e^{- 2 t})

What is sqrt(x^2-1)*2*sqrt((x^2-1)^3) ?
The solution to sqrt(x^2-1)*2*sqrt((x^2-1)^3) is 2(x^2-1)^2