Question

How do you multiply `(x + 4)(x + 7)`?

Answer 1

=`x^2 +11x +28`

Explanation:

Each term in the first bracket must be multiplied by each term in the second bracket This will give 4 terms which can be simplified to give 3 terms.

`(color(red)x+color(blue)4)(color(teal)x+color(purple)7)`

=`(color(red)x xx color(teal)x )+ (color(red)x xx color(purple)7) + (color(blue)4 xx color(teal)x) + (color(blue)4 xx color(purple)7)`

=`x^2 +7x + 4x +28`

=`x^2 +11x +28`