\[f(x)=\sum_{i=0}^{\n}{a_i x^i}, \ g(x)=\sum_{j=0}^n{b_jx^j\]
\[(f+g)(x):=\sum_{i=j=1}^{n}{(a_i+b_j)x^i\]
\[(f\cdot g)(x):=\sum_{h=0}^{n+n}{\sum_{i+j=h}{a_ib_jx^h}\]
Rules are important, otherwise:
\[x=x\]
\[x^2=x^2\]
\[x^2-x^2=x^2-x^2\]
\[x(x-x)=(x+x)(x-x)\]
\[x=x+x\]
\[1=2\]
Meglio avere regole no?
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