E-EX01 · A non-unit constant through the whole expansion
Let \(F(x)=(3-2x)^5\).
Find the first four terms in ascending powers of x.
Find the remaining two terms, so that the expansion is complete.
If the full expansion is \(c_0+c_1x+\cdots+c_5x^5\), find \(c_0+c_1+\cdots+c_5\) and \(c_0-c_1+c_2-c_3+c_4-c_5\). Explain your method.
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