Question

(1/2x - 3/2y)²
Plz expand this equation and also show the process needed​

Answer 1

$\large\sf \rm{expansion \: of \: ( \frac{1}{2x} - \frac{3}{2y} {)}^{2} }$

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

$\large \underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

$\sf {\bold {\rm {by \: algebraic \: identify:}}}$

$\sf{ \rm \red{(a - b {)}^{2} = {a}^{2} - {2ab}^{2} + {b}^{2} }}$

$\large{ \bold {\underline { \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

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

$\large \sf{therefore: }$

$\large{ \sf{ \pink{expansion \: of \: ( \frac{1}{2x} - \frac{3}{2y} {)}^{2}}}}$

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

hope its help u