I am doing my math homework and I just do not understand this problem, no matter how many resources I have looked at. Please help me
14x^2 y^2 + 19xy-3

Question

I am doing my math homework and I just do not understand this problem, no matter how many resources I have looked at. Please help me
14x^2 y^2 + 19xy-3

jagr2713 · Answer

Hey :D what do you think we do first @bantaray

anonymous · Answer

well I think we have to look at the GCF for 14 and -3. Things that equal 14 are 7*2 and 14*1

anonymous · Answer

the only thing that can go into 3 is -1*3

jagr2713 · Answer

Hmm lets start from the beginning :D

jagr2713 · Answer

Ok first we Multiply 14*y^2 by -3, which is -42 right?

anonymous · Answer

wait I don't know why we multiply 14 by -3

jagr2713 · Answer

Cause we are factoring right?

Ok we get 42

Which two numbers add up to 19*y and multiply to -42?

jagr2713 · Answer

hint:
21y and?

anonymous · Answer

2

jagr2713 · Answer

close but ur missing something 

hint: i said -42

anonymous · Answer

-2 :)

anonymous · Answer

sorry, I meant to type that to begin with

jagr2713 · Answer

Good so we have 21*y and -2*y

Ok now we Rewrite 19yx as the sum of 21yx and −2yx to get $$14y ^{2}x ^{2}+21yx-2yx-3$$ right?

HWat do we factor out?

jagr2713 · Answer

Wow its 12:23am and igtg to sleep soon but dont want to leave you without help so lets speed this up a bit :D @bantaray

anonymous · Answer

sorry! don't let me keep you! I don't we have to fact the 21

anonymous · Answer

like 7*3

jagr2713 · Answer

21 was from the question i asked about -42

jagr2713 · Answer

Ok so lets speed this up

Next we factor out common terms in the first two terms, then in the last two terms

ang get 
$$7yx(2yx+3)-(2yx+3)$$
whats the last step?

anonymous · Answer

I am so lost! I don't want to keep you from sleep. It's only 9:26pm here and I can probably text my professor about it. is should just be (2yx+3) - (2yx+3)

jagr2713 · Answer

Nope we factor 2yx+3 out and our left with
$$(2yx+3)(7yx-1)$$

jagr2713 · Answer

Sorry if u dont understand b.c i really have to go but let me ask someone to help explain more
@rational @triciaal @kidrah69

anonymous · Answer

thank you @jagr2713 I really appreciate it!

jagr2713 · Answer

Anytime :D

amistre64 · Answer

is this what we are looking at?
$$14x^2 y^2 + 19xy^{-3}$$
or
$$14x^2 y^2 + 19xy~{-3}$$

amistre64 · Answer

and then, what is it you are trying to do with it?