Question

Expand (x/2-y/3)power 2

Answer 1

$\Big( \frac{x}{2} - \frac{y}{3}\Big)^{2}$

$= \Big(\frac{x}{2}\Big)^{2} - 2\times \Big(\frac{x}{2}\Big) \times \Big(\frac{y}{3}\Big) + \Big(\frac{y}{3}\Big)^{2}$

/* By Algebraic Identity */

$\boxed { \pink { (a - b)^{2} = a^{2} - 2ab + b^{2} }}$

$= \frac{x^{2}}{4} - \frac{xy}{3} + \frac{y^{2}}{9}$

Therefore.,

$\red{ Expansion \: of \: \Big( \frac{x}{2} - \frac{y}{3}\Big)^{2}}\\\green {= \frac{x^{2}}{4} - \frac{xy}{3} + \frac{y^{2}}{9}}$

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