If `a+b=10\ \ a n d\ \ \ a b=16` , find the value of `a^2-a b+b^2\ a n d\ \ a^2+a b+b^2`

If a+b=7\ \ a n d\ \ a b=12 , find the value of a^2+b^2

If a+b=10 and ab-=16, find the value of a^(2)-ab+b^(2) and a^(2)+ab+b^(2)

If a+b=10 and ab=16 then find the value of a^2+2b^2 and a^2+ab+b^2

If a+b=10 and ab=16 find the value of a^(2)-ab+b^(2) and a^(2)+ab+b^(2)

If a^2+b^2+c^2=16 and a b+b c+c a=10 , find the value of a+b+c

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(2)+\ sqrt(3))/(3sqrt(2\ )-\ 2sqrt(3))=a-b\ sqrt(6)

If a=3\ \ a n d\ b=-2\ , find the values of: (i)\ a^a+b^b (ii)\ a^b+b^a (iii)\ (a+b)^(a b)

If a^2+b^2+c^2=20\ \ a n d\ a+b+c=0, find a b+b c+c a

If a-b=3 and a^(2)+b^(2)=29, find the value of ab. (a) 10 (b) 12 (c) 15 (d) 18

If a=2\ a n d\ b=3, then find the value of each of the following: (a+b)^a (ii) (a b)^b