Perform the indicated operation. Be sure the answer is reduced . a+b/a^(2) b + a-b/ab^2

asked Apr 16, 2023 190k views

19 votes

Perform the indicated operation. Be sure the answer is reduced
. a+b/a^(2) b + a-b/ab^2

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5 votes

Answer:

Explanation:

$(a+b)/(a^2b) +(a-b)/(ab^2) \\=(b(a+b)+a(a-b))/(a^2b^2) \\=(ab+b^2+a^2-ab)/(a^2b^2) \\=(b^2+a^2)/(a^2b^2) \\or\\=(1)/(a^2) +(1)/(b^2)$

Azpublic answered Apr 21, 2023

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