Question

How do you simplify `(x^2+2x-35)/ (x^2+4x-21) * (x^2+3x-18)/(x^2+9x+18)`?

Answer 1

Simplify quadratic expression f(x)

Ans:`(x - 5)/(x + 3)`

Explanation:

First factor all the trinomials:
`(x^2 + 2x - 35) = (x - 5)(x + 7)`; `(x^2 + 3x - 18) = (x - 3)(x + 6)`

`(x^2 + 4x - 21) = (x + 7)(x - 3)`; `(x^2 + 9x + 18) = (x + 3)(x + 6)`

`f(x) = ((x - 5)(x + 7))/((x + 7)(x - 3)).((x - 3)(x +6))/((x + 3)(x + 6))`=

`= (x - 5)/(x + 3)`