(2а+1/2а+1 - 2а-1/2а+1):2а/6а+3=

Question

(2а+1/2а+1 - 2а-1/2а+1):2а/6а+3=

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Answer 1

(2a+1/2a-1-2a-1/2a+1)=(2a+1)×(2a+1)-(2a-1)×(2a-1)/4a^2-1=2×4a/4a^2-1=8a/4a^2-1
8a/(2a-1)(2a+1)×6a+3/2a=4 (2a-1)(2a+1)/3(2a+1)=12/2a-1