1) \(\left(2x-3\right)\left(7-x^2+2x\right)\)
\(=14x-2x^3+4x^2-21+3x^2-6x\)
\(=-2x^3+7x^2+8x-21\)
2) \(\left(x^3+x^2+2x-4\right):\left(x-1\right)\)
\(=\left(x^3-x^2+2x^2-2x+4x-4\right):\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2+2x+4\right):\left(x-1\right)\)
\(=x^2+2x+4\)