If Hcf and Lcm of two numbers 'A' and 'B' are H and L respectively and A+B = H+L then prove that
1. (A)^2 + (B)^2 = (H)^2 + (L)^2
2. (A)^3 + (B)^3 = (H)^3 + (L)^3
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Answer:
1. (A)² + (B)²=(H)²+(L)²
2. (A)²+(B)²=(H)³+(L)³
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