Find the coefficient of x^33 of the binomial (x³ + x⁴)^10.
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Note that in the expansion of (x/2−4/x)6 the constant term is the fourth term which is C(6,3).(1/2)3.(−4)3=−160.
The term containing x2 is the fifth term which is C(6,4).(1/2)4.(−4)2=15.
Therefore, the coefficient of x2 in the expansion of (1+x2).(x/2−4/x)6 is given by −160+15=−145.
Step-by-step explanation:
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