Arithmetic Operation \( \otimes \)

Algebra Level 2

An arithmetic operation \( \otimes \) is defined as \(A \otimes B=AB-(A+B)\). If \[P=8x, Q=x^2+3x+2,\] what is the sum of all the coefficients of the polynomial in \(x\) \[(P+Q) \otimes P-(P-2Q) \otimes P?\]

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