Question

How do you find the product of `(3c+1)(c-2)`?

Answer 1

`3c^2-5c-2`

Explanation:

We must ensure that each term in the second bracket is multiplied by each term in the first bracket.
We can obtain this as follows.

`(color(red)(3c+1))(c-2)=color(red)(3c)(c-2)color(red)(+1)(c-2)`

now distribute the brackets and collect like terms.

`=3c^2-6c+c-2=3c^2-5c-2`

`rArr(3c+1)(c-2)=3c^2-5c-2`