Question

How do you find the product of `(6x + 9)(x + 4)`?

Answer 1

`6x^2 +33x +36`

Explanation:

Each term in the first bracket must be multiplied by each term in the second bracket.

`(color(red)(6x)color(blue)(+9))(x+4)`

=`color(red)(6x xx x + 6x xx 4) + color(blue)(9 xx x + 9 xx4)`

=`color(red)(6x^2 + 24x) + color(blue)(9x + 36`

=`6x^2 +33x +36`

Answer 2

`(6x+9)(x+4)`
`x(6x+9)+4(6x+9)`
`6x²+9x+24x+36`
`6x²+33x+36`