Question

How do you multiply `(5x+8)(6x+3)`?

Answer 1

`30x^2+63x+24`

Explanation:

`(color(red)(5x)+color(blue)8)(color(green)(6x)+color(brown)3)`

To get your answer you must add every combination of 2 colors outside of their own brackets, such as.

`(color(red)(5x)*color(green)(6x))+(color(red)(5x)*color(brown)3)+(color(blue)8*color(green)(6x))+(color(blue)8*color(brown)3)`

Notice `color(red)(5x)` is never multiplied by `color(blue)8` as they are in the same brackets.

This simplifies to `30x^2+15x+48x+24 rarr 30x^2+63x+24`