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Question

jenniferjuice · Answer

@Hamoody1996

jenniferjuice · Answer

help?

jenniferjuice · Answer

@IMStuck  pleasse helpme out here?

imstuck · Answer

I will help you!  I'm here!

imstuck · Answer

The trick here is to deal with the numerator and the denominator one at a time. First factor the numerator.  I would take a 3 out of all the terms first to make it easier to handle the numbers.  Like this...

imstuck · Answer

This is just the numerator: $$3(x ^{2}+7x-18)$$Can you factor that?

jenniferjuice · Answer

3x^2 + 21x - 54

imstuck · Answer

No...I mean factor it into (x +  )(x - )...

jenniferjuice · Answer

how do 9factor itt?

imstuck · Answer

Like this:

imstuck · Answer

$$3(x+9)(x-2)$$When you multiply all that back out you will get what you started with.  Now let's do the denominator.

imstuck · Answer

That will factor into (x + 9)(x - 6).  So what we are left with is this:

imstuck · Answer

$$\frac{ 3(x+9)(x-2) }{ (x+9)(x-6) }$$

imstuck · Answer

Between the numerator and the denominator you can cancel out the (x + 9) terms because they are identical and that leaves as your final answer:

imstuck · Answer

$$\frac{ 3(x-2) }{ (x-6) }$$

imstuck · Answer

That's it!  All done!