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Popular >

expand (1-y/x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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