Solve this: Q (iii) a-1+b-1÷ab-1+a-1-b-1÷a-2-b-2 - Maths - Exponents and Powers

Question

Solve this:
Q (iii) a - 1 + b - 1 ÷ a b - 1 + a - 1 - b - 1 ÷ a -
2 - b - 2

Brijendra Pal · Accepted Answer

Hi, a-1+b-1ab-1+a-1-b-1a-2-b-2=1a+1b1ab+1a-1b1a2-1b2=a+bab1ab+b-aabb2-a2a2b2=a+bab×ab1+b-aab×a2b2b2-a2=a+b+b-a1×abb-ab+a=a+b+abb+a=b+a2+abb+a=a2+b2+3aba+b

Solve this: Q. (iii) a - 1 + b - 1 ÷ a b - 1 + a - 1 - b - 1 ÷ a - 2 - b - 2

Solve this:
Q. (iii) $(a^{- 1} + b^{- 1}) \div {(a b)}^{- 1} + (a^{- 1} - b^{- 1}) \div (a^{- 2} - b^{- 2})$