Question

Prove (a+1/a)^²-(a-1/a)^²=4

Answer 1

Step-by-step explanation:

LHS=(a^2+2×a×1/a+ 1/a^2) - (a^2-2×a×1/a+1/a^2)

LHS = (a^2+2+1/a^2) - (a^2-2+1/a^2)

LHS=a^2+2+1/a^2-a^2+2-1/a^2

LHS= 2+2

LHS=4

LHS=RHS