Question

0. IF HCF and LCM of two terms a and b are x and y respectively and a+b= x+y, then x^2+y^2=?​

Answer 1

Answer:

H.C.F×L.C.M.= product of two algebraic expressions.

or. A.B= x.y………………….(1)

and. A+B=x+y………………..(2). (given)

or. (A+B)^3=(x+y)^3

or. A^3+B^3+3.A.B(A+B)=x^3+y^3+3.xy.(x+y)

Putting. A.B=x.y from eqn. (1) and A+B=x+y from eqn. (2)

or. A^3+B^3 +3x.y.(x+y) = x^3+y^3+3.xy.(x+y)

or. A^3+B^3 = x^3+y^3. Answer.