Multiply the polynomials \(A(x) = 7x^3 - x^2 + x - 10\) and \(B(x) = 8x^3 - 6x + 3\) using equations (30.1) and (30.2).

\[\begin{align*} A(x) \cdot B(x) &= 21x^3 - 42x^4 + 56x^6 - 3x^2 +6x^3 - 8x^5 + 3x - 6x^2 + 8x^4 - 30 + 60x - 80x^3 \\ & = 56x^6 - 8x^5 - 34x^4 - 53x^3 - 9x^2 + 63x - 30 \\ \end{align*}\]