Question

Given in the picture only that x=-2 and y=-1.
Plz. answer the Q3...

Answer 1

✔️hey mate! here's your answer!✔️

(3) firstly, let us find the product,

$( \frac{1}{3} x - \frac{ {y}^{2} }{5} )(\frac{1}{3} x + \frac{ {y}^{2} }{5})$

$= ( { \frac{1}{3}x })^{2} - ( { \frac{ {y}^{2} }{5} )}^{2}$

$= \frac{ {x}^{2} }{9} - \frac{ {y}^{4} }{25}$

Now, by substituting the values of x and y,

$= \frac{ ({ - 2})^{2} }{9} - \frac{ ({ - 1})^{4} }{25}$

$= \frac{4}{9} - \frac{1}{25}$

$= \frac{100 - 9}{225} \: \: \: \: \: \: \: \: (taking \: L.C.M. \: as \: 225)$

$= \frac{91}{225}$

hope it is helpful !