Compute and simplify: $3x^2\cdot 5x^3$

Select the best description for the expression $4x^2+0x+9$.

A rectangle has side lengths $3x+2$ and $x+5$. Find the area as a simplified polynomial expression.

Compute $-x^2{y}^3\cdot 3x^{-1}{y}^2$.

Expand and simplify fully: (x + 2)(x + 3)(x + 4). Show the final cubic polynomial.