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

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

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expand-((x-1)^2)/x

expand

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

- x + 2 - \frac{1}{x}

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Remove parentheses:

(a) = a, - (- a) = a

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

Cancel

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

= - x + \frac{2 x}{x} - \frac{1}{x}

Cancel

\frac{2 x}{x} : 2

= - x + 2 - \frac{1}{x}

(a + 6)^{2}

2 (5 + 7)

\frac{( 2 x ^{8} - 2 x ^{4} + 4 x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

\frac{( x - 4 ) ( x ^{2} + 4 x + 16 )}{( x - 10 ) ( x + 10 )}

- \frac{2 ( t ^{2} - 1 )}{( t ^{2} + 1 ) ^{2}}