Question

How do you multiply `(8m^2+8m+3)(2m^2+8m+4)`?

Answer 1

`16m^4+80m^3+102m^2+56m+12`

Explanation:

Multiply everything in the right brackets by every thing in the left.

`8m^2 (2m^2+8m+4) -> 16m^4+64m^3+32m^2`
`color(white)(.)8m(2m^2+8m+4) ->" " 16m^3+64m^2+32m`
`color(white)(8..)3(2m^2+8m+4)->ul(" "6m^2+24m+12`
`" "16m^4+80m^3+102m^2+56m+12`