Question

How do you write the product as a trinomial `(x + 2)(x + 3)`?

Answer 1

`(x+2)(x+3) = (x^2+5x+6)`

Explanation:

`(color(red)(x)+color(blue)(2))(x+3)`
`color(white)("XXXX")` `= color(red)(x)(x+3) + color(blue)(2)(x+3)`

`color(white)("XXXX")` `= color(green)(x(x+3)) + color(orange)(2(x+3))` `color(white)("XXXX")`(just changing colors here)

`color(white)("XXXX")` `=color(green)( x^2 +3x) + color(orange)(2x +6)`

`color(white)("XXXX")` `=x^2 +5x +6`