To solve this, we need to multiply each term in the first parenthesis with every term in the second parenthesis.
[tex](2p +7)(3p^2 + 4p - 3)[/tex]
First, we multiply each part, starting with 2p and then going to 7, pairing them with each term in the second part.
[tex]2p(3p^2) + 2p(4p) + 2p(-3) + 7(3p^2) + 7(4p) +7(-3)[/tex]
Then, we multiply the terms together.
[tex]6p^3 + 8p^2 - 6p + 21p^2 + 28p - 21[/tex]
Lastly, we simplify the answer down by combining like terms.
[tex]6p^3 + 29p^2 + 22p - 21[/tex]
The third option in this case is the correct one.
