Question

How do you expand `(2x-5)(x+7)`?

Answer 1

`= 2x^2 + 9x -35`

Explanation:

Multiply each term in the first bracket by each term in the second bracket. This will give you 4 terms - simplify the like terms:

`(color(blue)(2x) color(red)(- 5))(x + 7)`

`=(color(blue)(2x) xx x + color(blue)(2x) xx7)+ (color(red)(-5) xx x " "color(red)(-5) xx 7)`

`= color(blue)(2x^2 + 14x)" " color(red)( - 5x - 35)`

`= 2x^2 + 9x -35`