Question

Find l. C. M of x2-y2+x+y and x2-xy+x

Answer 1

Answer:

L.C.M. = (x2 – y2) (x2 + xy + y2) = (x – y)(x + y)(x2 + xy + y2) and H.C.F. = (x – y) In L.C.M. and H.C.F. common factor is (x – y) First expression = (x – y) (x + y) = x2 – y2 and second expression = (x – y) (x2 + xy + y2) = x3 – x2y + x2y – xy2 + xy2 – y3 = (x3 – y3) Hence, two expression are (x2 – y2) and (x3 – y3)Read more on Sarthaks.com - https://www.sarthaks.com/750952/l-c-m-of-two-quadraticequations-is-x-2-y-2-x-2-xy-y-2-and-h-c-f-is-x-y-find-expressions