Expanding (9h+3)(-h-1), we can use the distributive property of multiplication to multiply each term in the first factor by each term in the second factor:
(9h+3)(-h-1) = -9h^2 -9h -3h -3
Combining like terms, we get:
(9h+3)(-h-1) = -9h^2 -12h - 3
Therefore, the expanded form of the expression (9h+3)(-h-1) is -9h^2 -12h - 3, which is a polynomial in standard form.