Bài 1:
\(a,\left(-2x\right)\left(3x^2-2x+4\right)=-6x^3+4x^2-8x\\ b,\left(x-2\right)\left(x^2+3x-4\right)=x\left(x^2+3x-4\right)-2\left(x^2+3x-4\right)=x^3+3x^2-4x-2x^2-6x+8=x^3+x^2-10x+8\)
\(c,\left(2x-1\right)\left(x+3\right)\left(3-x\right)=\left(2x-1\right)\left(9-x^2\right)=9\left(2x-1\right)-x^2\left(2x-1\right)=18x-9-2x^3+x^2\\ d,\left(x+3\right)\left(x^2+3x-5\right)=x\left(x^2+3x-5\right)+3\left(x^2+3x-5\right)=x^3+3x^2-5x+3x^2+9x-15=x^3+6x^2+4x-15\)
Bài 2:
\(A=\left(x-5\right)\left(2x+3\right)-2x\left(x-3\right)+x+7\\ =2x^2-10x+3x-15-2x^2+6x+x+7\\ =-8\)
\(B=2x^2\left(x^2-3x\right)-6x+5+3x\left(2x^2+2\right)-2-2x^4\\ =2x^4-6x^3-6x+5+6x^3+6x-2-2x^4\\ =3\)
Vậy A,B không phụ thuộc vào giá trị của biến