Question 117869
{{{(1/a+1/b)^2+(1/a+1/b)^2}}} Start with the given expression



{{{2(1/a+1/b)^2}}} Combine like terms



{{{2((b/b)(1/a)+(a/a)(1/b))^2}}} Multiply the first fraction by {{{b/b}}} and multiply the second fraction by {{{a/a}}}




{{{2(b/ab+a/ab)^2}}} Multiply 



{{{2((b+a)/ab)^2}}} Since we have the LCD {{{ab}}}, we can combine the fractions



{{{2(b+a)^2/(ab)^2}}} Simplify



{{{2(b^2+2ab+a^2)/(ab)^2}}} Foil