2 fraction A and B and their GCD and LCM is H and L then A+B=H+L prove that A3+B3=H3+L3

Question

A3 means A into the power 3

Answer 1

We know that ....For two fraction...A and B A×B = hcf×lcm Then.. A×B = H×L...... And given ...A+B = H+ L ...... Cube on both side... (A+B)^3 = (H+L)^3 A^3 +B^3 +3AB(A+B) =H^3 + L^3 + 3HL(H+L) A^3+B^3+3HL(H+L) =H^3 + L^3 + 3HL(H+L) A^3 + B^3 =H^3 + L^3........Hence proved.. .....FOR MORE QUESTIONS AND ANSWERS AND TOPICS OF MATHEMATICS YOU SHOULD SUBSCRIBE MY YOU TUBE CHANNEL . AND WATCH MY YOUTUBE VIDEOS.