Question

find the value of x and y​

Answer 1

${(3a)}^{2} - {(5b)}^{2} + 50 {b}^{2} - 30ab = {(x - y)}^{2}$

$9 {a}^{2} - 25 {b}^{2} + 50 {b}^{2} - 30ab = {(x - y)}^{2}$

$9 {a}^{2} - 30ab + 25 {b}^{2} = {( x- y)}^{2}$

$\bf it \: is \: in \: the \: form :$

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

${(3a)}^{2} - 2(3a)(5b) + {(5b)}^{2} = {(x - y)}^{2}$

${(3a - 5b)}^{2} = {(x - y)}^{2}$

$\orange{x = 3a}$

$\orange{y = 5b}$

HOPE THIS HELPS!!