Question

XY^2 K= (4xy + 3y)^2 - (4xy - 3y)^2
By using above equation ! Find the value of *K*

EXPLAIN EACH AND EVERY STEP ! AND YOU'LL BE BRAINLIEST ! :)

Answer 1

AnswEr :

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$:\implies\tt xy^2 k = (4xy+3y)^2-(4xy-3y)^2\\\\{\scriptsize\qquad\bf{\dag}\:\sf{ {(a + b)}^{2} ={a}^{2} +{b}^{2} + 2ab }} \\{\scriptsize\qquad\bf{\dag}\:\sf{ {(a - b)}^{2} ={a}^{2} +{b}^{2} - 2ab }} \\\\:\implies\tt {xy}^{2}k = (4xy)^{2} + {(3y)}^{2} +(2 \times 4xy \times 3y) - [(4xy)^{2} + {(3y)}^{2} - (2 \times 4xy \times 3y)] \\\\\\:\implies\tt {xy}^{2}k = \cancel{(4xy)^{2}} + \cancel{{(3y)}^{2}} + 24xy^{2}- \cancel{(4xy)^{2}}- \cancel{{(3y)}^{2}} + 24x{y}^{2} \\\\\\:\implies\tt {xy}^{2}k =24x{y}^{2} + 24x{y}^{2}\\\\\\:\implies\tt {xy}^{2}k =48x{y}^{2}\\\\\\:\implies\tt k = \dfrac{48\cancel{x{y}^{2}}}{\cancel{x{y}^{2}}}\\\\\\:\implies \boxed{\tt k =48}$

⠀

$\therefore\:\underline{\textsf{Hence, value of K will be \textbf{48.}}}$

Answer 2

See the attachment above :)