Question

If A and B are the H.C.F. and
L.C.M. respectively of two al-
gebraic expressions x and y, and
A+B= x+y, then the value of A^3+ B^3 is
​

Answer 1

Answer:

4)x³+y³

Step-by-step explanation:

see in the attachment above

Answer 2

Answer:

If A & B are the HCF & LCM respectively of two algebraic expressions x and y, and A+B=x+y, then the value of A^3 + B^3 is?

we know that:-

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.

Step-by-step explanation: