Question

How do you find the product of `(4g+3h)(2g+3h)`?

Answer 1

`8g^2+18gh+9h^2`

Explanation:

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

`=(color(red)(4g+3h))(2g+3h)`

`=color(red)(4g)(2g+3h)color(red)(+3h)(2g+3h)larrcolor(blue)"distribute"`

`=(color(red)(4g)xx2g)+(color(red)(4g)xx3h)+(color(red)(3h)xx2g)+(color(red)(3h)xx3h)`

`=8g^2color(blue)(+12gh)color(blue)(+6gh)+9h^2larrcolor(magenta)"collect like terms"`

`=8g^2+18gh+9h^2`