Simplify the expression
(5x²+2x+4/x⁴-16) / (25x²+20x+4/x² -2x)

Question

Simplify the expression
(5x²+2x+4/x⁴-16) / (25x²+20x+4/x² -2x)

anonymous · Answer

$$\frac{ 5x²+2x+4}{ x^4-16 } \div \frac{ 25x^2+20x+4 }{ x^2-2x }$$
do u know how to factor this

anonymous · Answer

I kind of remember the idea but I forgot the proper way to do it :/

anonymous · Answer

so lets see a simple one take 
$$x ^{4}-16$$ =
$$(x ^{2}-4)(x ^{2}+4)$$

compassionate · Answer

Still need help?

luigi0210 · Answer

When you are diving, you flip the function on the right and switch it to multiplying.

luigi0210 · Answer

No ansurs here, sorry

anonymous · Answer

$$(\frac{ 5x²+2x+4 }{ x⁴-16 }) (\frac{ x ^{2}-2 }{ 25x²+20x+4 })$$

Like this? And do I factor these now? For x²-2 I got (x+2)(x-1) ?? Is this correct? Or do I have to cross multiply first and combine like terms? I know this must me alot simpler than Iam making it, It's just been a while since I took a math course.

luigi0210 · Answer

I thought it was x^2-2x?

anonymous · Answer

You're correct. Sorry, it's been a long day -_-

luigi0210 · Answer

And that would make it simpler wouldn't you agree?

anonymous · Answer

x(x-2)  ??

luigi0210 · Answer

yup!

anonymous · Answer

So how do I factor 25x²+20x+4? Or do I just keep it like this?

luigi0210 · Answer

Factor it, it might help.

anonymous · Answer

As I implied. I'm not so sure how I'd factor it This part is where I'm stuck and my book has not come in yet so I don't even have a reference. :/ How would I start on factoring it? :O

luigi0210 · Answer

It factors to (5x+2)(5x+2)