Question

What is the simplified form of 9x^2-25/3x+5

Answer 1

ANSWER

$3x-5$ , $x\ne -\frac{5}{3}$


EXPLANATION

We want to simplify

$\frac{9 {x}^{2} - 25}{3x + 5}$

We rewrite the numerator as difference of two squares.

$\frac{(3 {x})^{2} - {5}^{2} }{3x + 5}$

Factor the numerator using difference of two squares.

${a}^{2} - {b}^{2} = (a + b)(a - b)$

This implies that:

$\frac{(3 {x})^{2} - {5}^{2} }{3x + 5} = \frac{(3 {x} + 5) (3x - 5)}{3x + 5}$

We cancel the common factors to get,

$= 3x - 5$


For

$x\ne -\frac{5}{3}$

Answer 2

9x^2-25/3x+5

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

=3x-5

Hope that helped :)