SOLUTION: Help.Simplify: (1/a + 1/b) squared +(1/a + 1/b) squared

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Help.Simplify: (1/a + 1/b) squared +(1/a + 1/b) squared      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 117869: Help.Simplify: (1/a + 1/b) squared +(1/a + 1/b) squared
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Fa%2B1%2Fb%29%5E2%2B%281%2Fa%2B1%2Fb%29%5E2 Start with the given expression


2%281%2Fa%2B1%2Fb%29%5E2 Combine like terms


2%28%28b%2Fb%29%281%2Fa%29%2B%28a%2Fa%29%281%2Fb%29%29%5E2 Multiply the first fraction by b%2Fb and multiply the second fraction by a%2Fa



2%28b%2Fab%2Ba%2Fab%29%5E2 Multiply


2%28%28b%2Ba%29%2Fab%29%5E2 Since we have the LCD ab, we can combine the fractions


2%28b%2Ba%29%5E2%2F%28ab%29%5E2 Simplify


2%28b%5E2%2B2ab%2Ba%5E2%29%2F%28ab%29%5E2 Foil