Question

How do you find the product of `(m+4)(m+1)`?

Answer 1

`m^2+5m+4`

Explanation:

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

`(color(red)(m+4))(m+1)=color(red)(m)(m+1)color(red)(+4)(m+1)`

now distribute the brackets and collect 'like terms'

`rArrm^2+m+4m+4=m^2+5m+4`