E-EX02 · Two expansions with linked signs
Let \(F(x)=(2+x)^6\) and \(G(x)=(2-x)^6\).
Find the first four terms of F in ascending powers of x.
Find the exact simplified polynomial \(F(x)+G(x)\). Explain the cancellation.
Find the coefficients of \(x^4\) and \(x^5\) in \(F(x)-G(x)\).
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