Bananas1234
  • Bananas1234
Simplify. u^2-4/u^2 - 2u
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
nikato
  • nikato
|dw:1433048410396:dw| is this your question?
anonymous
  • anonymous
you can factorize u^2-4 to (u-2)(u+2) and next exp as u(u-2) cancel out (u-2) from denom and num
Bananas1234
  • Bananas1234
u + 2, u is not 2?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

UsukiDoll
  • UsukiDoll
we have a perfect square on the numerator... can we split that up in the form of (a+b)(a-b) where a = x and b =2?!
Bananas1234
  • Bananas1234
i dont think so, can we?
UsukiDoll
  • UsukiDoll
whatttttttttttttttttttt! pop quiz what the square root of 4
Bananas1234
  • Bananas1234
2
UsukiDoll
  • UsukiDoll
yes... whenever we have a perfect square we can split (a^2-b^2) in the form of (a+b)(a-b)
UsukiDoll
  • UsukiDoll
so since a = x and b = 2 what is the numerator... we can split it up in the form of (a+b)(a-b)
UsukiDoll
  • UsukiDoll
a = x =u b = 2
Bananas1234
  • Bananas1234
i see
Bananas1234
  • Bananas1234
so what do i do next
UsukiDoll
  • UsukiDoll
what do you have for the numerator first?
Bananas1234
  • Bananas1234
u + 2?
UsukiDoll
  • UsukiDoll
no you're missing something I'll give an example (x^2-9) =(x+3)(x-3) now follow that pattern with u^2-4
UsukiDoll
  • UsukiDoll
it's 3 on the example because the square root of 9 is 3
Bananas1234
  • Bananas1234
i am not sure i am following you
UsukiDoll
  • UsukiDoll
(u^2-4) the term u^2 is a perfect square and the same goes for 4 so the square root of u^2 is u and the square root of 4 is 2 whenever we have something like u^2 - 4 , it is a perfect square polynomial in the form of (u^2-4) = (u+2)(u-2)
Bananas1234
  • Bananas1234
ok
UsukiDoll
  • UsukiDoll
now for the denominator u^2 can also be written as uu... eventually you may be required to be swift in factoring and taking out like terms u^2-2u I can take a u out and it becomes u(u-2) to see it easier uu-2u and since we have a u on the left and u on the right we can take that out
Bananas1234
  • Bananas1234
ok
UsukiDoll
  • UsukiDoll
so now we have (u+2)(u-2) / u(u-2) so what does the numerator and denoiminator have in common that we can remove.
Bananas1234
  • Bananas1234
u-2
UsukiDoll
  • UsukiDoll
yes! so we have (u+2)/(u)
Bananas1234
  • Bananas1234
i think i understand better now
UsukiDoll
  • UsukiDoll
hmm if we have to simplify further we can split (u+2)/(u) into 2 fractions because they have the same denominator u/u +2/u 1+ 2/u or we can leave the answer like that
Bananas1234
  • Bananas1234
based on my options i think its ok to leave it
UsukiDoll
  • UsukiDoll
yeah that's fine ^^
Bananas1234
  • Bananas1234
so is it u +2/u, u is not 0 or u +2/u, u is not 2, u is not 0 ? and how do i find out?
Bananas1234
  • Bananas1234
@UsukiDoll
UsukiDoll
  • UsukiDoll
the denominator of u is the whole entire thing \[\frac{u+2}{u}\]
UsukiDoll
  • UsukiDoll
since they share a single denominator we can split it up into 2 different fractions or leave it as is.
UsukiDoll
  • UsukiDoll
\[\frac{u}{u} +\frac{2}{u} \rightarrow 1 + \frac{2}{u}\]
UsukiDoll
  • UsukiDoll
we can't have u = 0 .. because anything divided by 0 is undefined.
Bananas1234
  • Bananas1234
i see
Bananas1234
  • Bananas1234
Thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.