Question

How do you find the product of `(3q+2)(9q^2-12q+4)`?

Answer 1

`27q^3-18q^2-12q+8`

Explanation:

We must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.
This can be done as follows.

`(color(red)(3q+2))(9q^2-12q+4)`

`=color(red)(3q)(9q^2-12q+4)color(red)(+2)(9q^2-12q+4)`

now distribute each bracket.

`=27q^3-36q^2+12q+18q^2-24q+8`

and collecting like terms gives.

`27q^3+(-36q^2+18q^2)+(12q-24q)+8`

`=27q^3-18q^2-12q+8larr" is the result of the product"`