What is expand (x^2+4/x)^3 ?

The solution to expand (x^2+4/x)^3 is (x^9+12x^6+48x^3+64)/(x^3)

Popular >

expand (x^2+4/x)^3

expand

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

\frac{x ^{9} + 12 x ^{6} + 48 x ^{3} + 64}{x ^{3}}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2})^{3} + 3 (x^{2})^{2} \frac{4}{x} + 3 x^{2} (\frac{4}{x})^{2} + (\frac{4}{x})^{3} : \frac{x ^{9} + 12 x ^{6} + 48 x ^{3} + 64}{x ^{3}}

= \frac{x ^{9} + 12 x ^{6} + 48 x ^{3} + 64}{x ^{3}}

6 (2 ln (x) + 3)

\frac{\partial}{\partial x} ((z) (x + y + z))

v (- 5 - 1) f (3.1)

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

(cos (π t), 2 e^{t} + 5) (- π sin (π t), e^{t})

What is expand (x^2+4/x)^3 ?
The solution to expand (x^2+4/x)^3 is (x^9+12x^6+48x^3+64)/(x^3)