Question

What is the simplified form of (2x/3x+9) / (5x/x^2-x-12)?

Answer 1

@sami-21 help ?! :)

Answer 2

@lgbasallote

Answer 3

\[\huge \frac{\frac{2x}{3x + 9}}{\frac{5x}{x^2 - x - 12}} \implies \frac{2x \cdot (x^2 - x - 12)}{5x \cdot (3x + 9)}\]

Factorize numerator first..

Answer 4

Can you factorize it ?

\[x^2 - x - 12\]

Answer 5

(x-4)(x+3)

Answer 6

Great..

Answer 7

Now what

Answer 8

From denominator you can factor out 3..

Answer 9

By use of distributive property:

Factor out 3 from it:
\[3x + 9\]

Answer 10

I got 2x (x-4) / 15x

Answer 11

Yes..

You can cancel x also here..

Answer 12

\[\frac{2x(x-4)}{15x} \implies \frac{2}{15}(x-4)\]

Answer 13

Getting?? @jrosesweet

Answer 14

Yes so that's the answer?

Answer 15

Yes that is the answer..
Or you can write it as :

\[\frac{2x - 8}{15}\]

If you want..

Answer 16

Thanks!! @waterineyes