Question

How do you simplify `6pq(3p^2+4q)`?

Answer 1

`18p^3q+24pq^2`

Explanation:

Distribute `6pq` to `3p^2` and `4q`

`color(red)(6pq)*3p^2+color(red)(6pq)*4q`

note: when multiplying two of the same variables we ADD the exponents such that `x^a*x^b= x^(a+b)`

Thus,
`color(red)(6pq)*3p^2+color(red)(6pq)*4q -> 18p^3q+24pq^2`