hi everyone we have a nice algebraic equation here that is x square minus y square equals to x minus y the whole square and we have to find the values of X and Y so let's start with that so first of all we're going to expand this this is an identity a minus B the whole Square which is a square minus 2 a B plus b squared so we know to write it like that x square minus y Square which is equal to x square minus 2 X Y plus y Square and now what are we going to do just subtract both sides by x squared minus x square minus x square so what are we going to get we have this and this gets canceled so we have minus y square is equal to this and this gets canceled so we have minus 2 x y plus y squared now let's bring all the terms on one side on left hand side so we'll have plus 2 x y minus y square and again minus y square equals to 0. then we have 2 X Y minus 2 y square equals to 0. let's take out 2 and Y common 2y then you're left with x minus 2y squared divided by 2y your left width y is equal to zero so you have two solutions here that is 2y is equal to 0 and x minus y is equal to 0. so here if you want the value just divide both sides by two two gets canceled so here you are left with Y is equal to zero and here you have X is equal to Y this side so you have got two values let's check for the answers like to check if they are right or wrong so what's our equation x square minus y square is equal to x minus y the whole Square so let's put the values here in this equation so the first value is Y is equal to zero so let's put x square minus 0 square is equal to x minus 0 the whole squared so we have x squared is equal to x square and that's right so why is equal to zero is the answer that's one solution now let's put X is equal to y and check so what are we going to put X as y so we have y Square minus y square is equal to Y minus y the whole Square y Square minus y square is 0 this is also equal to 0 so that's right and that's true so these are the two solutions we have got thank you so much for watching bye bye take care