Question

How do you simplify `(x-5)(x+3)`?

Answer 1

`x^2-2x-15`

Explanation:

We must ensure that each term in the `color(blue)"second bracket"` is multiplied by each term in the `color(blue)"first bracket"`
This can be done as follows.

`color(red)(x)(x+3)color(red)(-5)(x+3)`

distribute the brackets.

`x^2+3x-5x-15`

collect like terms.

`=x^2-2x-15`