What is expand (sqrt(x)-4)^3 ?

The solution to expand (sqrt(x)-4)^3 is xsqrt(x)-12x+48sqrt(x)-64

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expand (sqrt(x)-4)^3

expand

(x - 4)^{3}

x x - 12 x + 48 x - 64

Solution steps

(x - 4)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

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

Simplify

(x)^{3} - 3 (x)^{2} \cdot 4 + 3 x \cdot 4^{2} - 4^{3} : x x - 12 x + 48 x - 64

= x x - 12 x + 48 x - 64

(ln (x)) (- x^{3} + 3)

(1 - e^{- c})^{2}

t^{2} cos (ln (t)) \cdot (2 t sin (ln (t)) + t cos (ln (t)))

(sin (6 x) + cos (6 x))^{2}

sin (θ) + (sin (θ) + cos (θ)) cos (θ)

What is expand (sqrt(x)-4)^3 ?
The solution to expand (sqrt(x)-4)^3 is xsqrt(x)-12x+48sqrt(x)-64