What is sqrt((3+4x-4x^2)^3) ?

The solution to sqrt((3+4x-4x^2)^3) is (-4x^2+4x+3)^{3/2}

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simplify sqrt((3+4x-4x^2)^3)

simplify

(3 + 4 x - 4 x^{2})^{3}

(- 4 x^{2} + 4 x + 3)^{\frac{3}{2}}

Solution steps

(3 + 4 x - 4 x^{2})^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((3 + 4 x - 4 x^{2})^{3})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (3 + 4 x - 4 x^{2})^{3 \cdot \frac{1}{2}}

3 \cdot \frac{1}{2} = \frac{3}{2}

= (3 + 4 x - 4 x^{2})^{\frac{3}{2}}

= (- 4 x^{2} + 4 x + 3)^{\frac{3}{2}}

(1.1 \cdot 1 0^{- 6}) e^{(\frac{- 87400}{8.31 \cdot 923})}

- e^{c o s (e^{x})} \cdot sin (e^{x}) e^{x}

(e^{2 u})^{2}

e^{- 0.05 t} (20 e^{0.05 t})

(([\frac{1}{2}])^{3})^{0}^{- 2}

What is sqrt((3+4x-4x^2)^3) ?
The solution to sqrt((3+4x-4x^2)^3) is (-4x^2+4x+3)^{3/2}