Question

(1/2x-3/2y)2 expand the following

Answer 1

$Expansion \: of \: \Big( \frac{1}{2x} - \frac{3}{2y}\Big)^{2}$

$= \Big(\frac{1}{2x}\Big)^{2} - 2 \times \Big(\frac{1}{2x}\Big)\times \Big(\frac{3}{2y}\Big)+ \Big(\frac{3}{2y}\Big)^{2}$

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By Algebraic Identity :

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

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$= \frac{1}{4x^{2}} - \frac{3}{2y} + \frac{9}{4y^{2}}$

Therefore.,

$\red{ Expansion \: of \: \Big( \frac{1}{2x} - \frac{3}{2y}\Big)^{2}}$

$\green { = \frac{1}{4x^{2}} - \frac{3}{2y} + \frac{9}{4y^{2}}}$

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Answer 2

Step-by-step explanation:

(1/2x-3/2y)^2 expand the following