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

The solution to expand ((x-b)^2)/(x^3) is 1/x-(2b)/(x^2)+(b^2)/(x^3)

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expand ((x-b)^2)/(x^3)

expand

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

\frac{1}{x} - \frac{2 b}{x ^{2}} + \frac{b ^{2}}{x ^{3}}

Solution steps

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

(x - b)^{2} = x^{2} - 2 b x + b^{2}

= \frac{x ^{2} - 2 b x + b ^{2}}{x ^{3}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2} - 2 x b + b ^{2}}{x ^{3}} = \frac{x ^{2}}{x ^{3}} - \frac{2 x b}{x ^{3}} + \frac{b ^{2}}{x ^{3}}

= \frac{x ^{2}}{x ^{3}} - \frac{2 b x}{x ^{3}} + \frac{b ^{2}}{x ^{3}}

Cancel

\frac{x ^{2}}{x ^{3}} : \frac{1}{x}

= \frac{1}{x} - \frac{2 b x}{x ^{3}} + \frac{b ^{2}}{x ^{3}}

Cancel

\frac{2 x b}{x ^{3}} : \frac{2 b}{x ^{2}}

= \frac{1}{x} - \frac{2 b}{x ^{2}} + \frac{b ^{2}}{x ^{3}}

n (n - 3 n^{2} = 2)

\frac{3}{4 ( 12 v + 16 )}

\frac{( 2 x ^{3} + 3 ) ^{6}}{x ^{12}}

(A + Bt) e^{s t}

(12 - - 12 - i) 28

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