(-x^2)*(x^3+3/2x+1)
I assume you want to expand this?
\( (-x^2)*(x^3+\frac{3}{2}x+1)\)
Muliply each term in the second bracket by -x^2
\(=(-x^2)*(x^3)\quad+\quad (-x^2)* (\frac{3}{2}x)\quad +\quad (-x^2)* (1)\)
now simplify each term separately.