Question

A + B = 4, AB = 2, find the value of A^5 + B^5."IT'S A JEE ADVANCE QUESTION"

Answer 1

Answer:

Step-by-step explanation:

A + B = 4

ON SQ

A^2 + B^2 = (A+ B)^2 - 2 AB

                 = 12

ON CUBEING BOTH SIDE

A^5 +B^5 = (A^2 + B^2)^3 - 3*A^2*B^2(A^2 + B^2)

              =  1728 - (3*4(12)

              = 1728 - 144

               1584