Simplifying Algebra

[Conor Mc]

Currently I have some sums im having trouble with, the teacher I have just cannot explain them to us in a way we understand. Im hoping for some help with the following, step by step through how to simplify each:
x³+25 --------------- 250x⁴+128x --------------------------- -x³-8 ------------------------------ 7x²+9x --------------------------------- 30x^​2y-87xy+30y

 

[Deleted member 4993]

Currently I have some sums im having trouble with, the teacher I have just cannot explain them to us in a way we understand. Im hoping for some help with the following, step by step through how to simplify each:
x³+25 --------------- 250x⁴+128x --------------------------- -x³-8█7x²+9x --------------------------------- 30x^​2y-87xy+30y

What does "simplify" mean in these cases? Factorize?

Why is there a space (█) between 8 and 7?

 

[Conor Mc]

Space unintended, and I yes, factorize. Answers asap would be very nice


edit - the space is 2 sums, forgot to change that, ill do it now

 

[ksdhart2]

Answers asap would be very nice

Come on now, you know that's not how it works. You read about the rules of this forum in the Read Before Posting thread (You did read it, right? )

\(\displaystyle 250x^4+128x\)

So, we can think of factoring as a sort of "reverse distribution rule." If you had the problem \(\displaystyle z(5z^2+7)\), how would you solve that? Now, keeping that solution in mind, let's look again at the actual problem. Do you see anything the two terms in the sum share in common? What does that suggest a good first step might be?

\(\displaystyle x^3-8\)

This looks like a difference of cubeshttp://www.purplemath.com/modules/specfact2.htm. How far did you get in applying that?

\(\displaystyle 7x^2+9x\)

See the second question. This can be solved in exactly the same manner, it's just different numbers.

\(\displaystyle 30x​^2y-87xy+30y\)

This one's a bit trickier, but you can start with the basics still. Now you have three terms. Is there anything they all share in common? What happens if you pull that out? Where do you think you might go from there? Perhaps reading up on how to factor quadratic equations might be helpful.

 

[Conor Mc]

I just want answers to my homework ):

 

[ksdhart2]

Well, if you're not willing to even try at all, then you'll have to look somewhere else. There's plenty of "cheetz" sites available. Just be aware that you'll want to use a credit card and be prepared to cancel it immediately, as most of them are really scammers just looking for an easy buck.