What is expand ((y+1)/x)^2 ?

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

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expand ((y+1)/x)^2

expand

(\frac{y + 1}{x})^{2}

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

Solution steps

(\frac{y + 1}{x})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

(y + 1)^{2} = y^{2} + 2 y + 1

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

Apply the fraction rule:

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

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

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

\frac{d}{d q} ((r (q)) (60 - 0.12 q))

\frac{( y - x ) d x + y}{d x}

100 (1 - \frac{1}{e ^{2}})

\frac{8 x ( x - 5 )}{4 x ^{2} - 27 x - 7}

8 (2 x + 3 y = 15)

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