Question

How do I work this out? Someone explain fully please

Answer 1

First what you can do to make it more simple is change it to multiplication and to do that just flip the numerator on the bottom and switch the denominator to the top ( only on one fraction) then multiply them and simplify the answer from there by canceling out the things that are the same.

Answer 2

`(x + 2)/(3x - 1)`

Explanation:

x²-9 when factorized, would be

(x-3)(x+3)

Using a scientific calculator or manually, you can factorise the denominator of the same fraction which would be,

(3x-1)(x+3)

when it's fraction division, you must turn the sign into multiplication and use the reciprocal of the fraction.

`((x - 3)(x + 3))/((3x - 1)(x + 3)) * (x + 2)/(x - 3)`

Now, you can cancel the similar terms which are,

(x-3) and (x+3)

then, you are left with your final answer as,

`(x + 2)/(3x - 1)`