What is expand (1-2/x)^3 ?

The solution to expand (1-2/x)^3 is (x^3-6x^2-8+12x)/(x^3)

Popular >

expand (1-2/x)^3

expand

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

\frac{x ^{3} - 6 x ^{2} - 8 + 12 x}{x ^{3}}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

1^{3} - 3 \cdot 1^{2} \cdot \frac{2}{x} + 3 \cdot 1 \cdot (\frac{2}{x})^{2} - (\frac{2}{x})^{3} : \frac{x ^{3} - 6 x ^{2} - 8 + 12 x}{x ^{3}}

= \frac{x ^{3} - 6 x ^{2} - 8 + 12 x}{x ^{3}}

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

(3 x + 5) (x - 25)

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

(e - f k) (e^{2} - e f k + f k^{2})

lo g_{10} (x) (x^{3} - 2)

What is expand (1-2/x)^3 ?
The solution to expand (1-2/x)^3 is (x^3-6x^2-8+12x)/(x^3)