Question

How do you multiply `(9p^3+10)^2`?

Answer 1

`81p^6+180p^3+100`

Explanation:

`(9p^3+10)^2=(9p^3+10)(9p^3+10)`

`"each term in the second factor is multiplied by each"`
`"term in the first factor"`

`color(red)(9p^3)(9p^3+10)color(red)(+10)(9p^3+10)`

`"distributing gives"`

`81p^6+90p^3+90p^3+100`

`=81p^6+180p^3+100`