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If a^2 - b^2 = 8 and a*b = 2, find a^4 + b^4

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(A2-B2)2= (A2)2+(B2)2-2A2B2
(8)2=A4+B4-2(AB)2
64= A4+B4 -2(2)2
A4+B4 =72
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RRB Other Question

Find a and b so that the rational function f(x) = (a*x^4 + b*x^3 + 3) / (x3 - 2) has an oblique asymptote given by y = 2x - 3 If a^2 - b^2 = 8 and a*b = 2, find a^16 + b^16