To expand a product of two binomials, I can use the distributive property and multiply each term in one binomial by each term in the other binomial. I will write the product as ${(2p^2)(3p^2) + (2p^2)(4) + (-1)(3p^2) + (-1)(4)}$. Now I can simplify each term by multiplying the coefficients and adding the exponents of the same base. I get ${6p^4 + 8p^2 - 3p^2 - 4}$. I can combine the like terms that have the same degree of p. I get ${6p^4 + 5p^2 - 4}$. This is the expanded form of the product. 
Expand the product ${(2p^2 - 1)(3p^2 + 4)}$.