Here,
a-b=14
ab=8
we know that,
[tex]\tt{(a-b)^2=a^2+b^2-2ab }[/tex] ⠀
According to the question,
[tex]\tt{ (14)^2=a^2+b^2-2×8 }[/tex] ⠀
[tex]\tt{196=a^2+b^2-16 }[/tex] ⠀
[tex]\tt{a^2+b^2=196-16 }[/tex] ⠀
[tex]\tt{a^2+b^2=180 }[/tex] ⠀