Question

If H.C.F and L.C.M of two terms x and y are a and b respectively and x+y=a+b then x2 + y2 = ?

Answer 1

Answer:

HCF×LCM=Product of nos.

⇒x×y=a×b

Also, a+b=x+y

Squaring (x+y)2= (a+b)2 x2+y2+2xy

=a2+b2+2ab

But, xy=ab

⇒x2+y2 =a2+b2.

Hope this helps you!