Question

What is the product of (2p + 7)(3p^2 + 4p -3

Answer 1

The expression looks like this: $\left(2p+7\right)\left(3p^2+4p-3\right)$
First, distribute the parenthesis...
$=2p\cdot \:3p^2+2p\cdot \:4p+2p\left(-3\right)+7\cdot \:3p^2+7\cdot \:4p+7\left(-3\right)$
There's a rule named minus - plus, which is this: $+\left(-a\right)=-a$
We are going to apply it...
$=2p\cdot \:3p^2+2p\cdot \:4p-2p\cdot \:3+7\cdot \:3p^2+7\cdot \:4p-7\cdot \:3$
We then are going to apply the exponent rule, which is this: $\:a^b\cdot \:a^c=a^{b+c}$
$=6p^3+8p^2-6p+21p^2+28p-21$
Group like terms.
$=6p^3+8p^2+21p^2-6p+28p-21$
Add like terms...
$=6p^3+8p^2+21p^2+22p-2$
$=6p^3+29p^2+22p-21$
Done!

Have a nice day! :)