What is expand (x-1)/y (x-1)/y-1+1 ?

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

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expand (x-1)/y (x-1)/y-1+1

expand

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

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

Solution steps

\frac{x - 1}{y} \cdot \frac{x - 1}{y} - 1 + 1

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

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

- 1 + 1 = 0

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

Apply the fraction rule:

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

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

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

lo g_{10} (a)

(b - v f - d v)^{2}

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

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

y \cdot (b^{2} - y^{2})

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