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Answer:
α⁴β²+α²β⁴=90
Step-by-step explanation:
x²-4x+3=0
x²-x-3x+3=0 (splitting the middle term)
x(x-1)-3(x-1)=0
(x-3)(x-1)=0
=> either x=3 or x=1
so α=3 and β=1
so α⁴β²+α²β⁴=3⁴×1²+3²×1⁴
=3²(3²+1)
=9(9+1)=90