Question

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

Answer 1

C

Explanation:

Answer 2

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! :)