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Popular >

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

Solution

expand

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

Solution

\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}}

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Frequently Asked Questions (FAQ)

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)