Question 434499
We have the system


{{{a^2 - 2ab + b^2 = 36}}}
{{{a^2 - 3ab + b^2 = 22}}}


If we multiply the second equation by -1,


{{{a^2 - 2ab + b^2 = 36}}}
{{{-a^2 + 3ab - b^2 = -22}}}


Add the resulting two equations to obtain {{{ab = 14}}}.