Question

How do you multiply `(x + 2)(x + 3)`?

Answer 1

`x^2+5x+6`

Explanation:

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

`rArr(color(red)(x+2))(x+3)`

`=color(red)(x)(x+3)color(red)(+2)(x+3)larrcolor(blue)"distribute"`

`=(color(red)(x)xx x)+(color(red)(x)xx3)+(color(red)(2)xx x)+(color(red)(2)xx3)`

`=x^2color(magenta)(+3x)color(magenta)(+2x)+6larrcolor(blue)"collect like terms"`

`=x^2+5x+6`