Consider the expansion of

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the expansion of (2−3x)10(2-3x)^{10}. Answer the following. (i) Write the general term Tr+1T_{r+1} of the expansion. (ii) Identify the middle term of the expansion and write it explicitly (without numerical simplification). (iii) Calculate the numerical value of the middle term when x=1x=1.

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