Question

$find \: the \: value \: of \: k \: \: if : x {y}^{2} k = (4xy + 3y {)}^{2} - (4xy - 3y {)}^{2}$

Answer 1

$Answer:\\ \\ Given, \\ \\ x {y}^{2} k = {(4xy + 3y) }^{2} -{ (4xy - 3y) }^{2} \\ \\ = > x {y}^{2} k = 16 {x}^{2} {y}^{2} + 24x {y}^{2} + 9 {y}^{2} \\ - 16 {x}^{2} {y}^{2} + 24x {y}^{2} - 9 {y}^{2} \\ \\ = > x {y}^{2} k = 48x {y}^{2} \\ \\ Comparing \: \: both \: \: sides, \: \: we \: \: get \\ \\ k = 48$

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