Can I Simplify This Algebraic Expression by Canceling Out the h?

  • Thread starter Thread starter vt33
  • Start date Start date
  • Tags Tags
    Simplify
vt33
Messages
25
Reaction score
0
I'm trying to simplify -2rh-h^2+2r/h

can I simplify this anymore by canceling out the h, or is that not correct. Also, I don't believe I can factor out the h in the numerator because it's not in all 3 on top, is that correct?
 
Mathematics news on Phys.org
vt33 said:
I'm trying to simplify -2rh-h^2+2r/h

can I simplify this anymore by canceling out the h, or is that not correct. Also, I don't believe I can factor out the h in the numerator because it's not in all 3 on top, is that correct?

Yes,it cannot be factored,since it's missing from one of the terms of the sum.
However,it can be split into 2 fractions and "symplified"...

Daniel.
 
Assuming you mean \frac{-2rh- h^2+ 2r}{h}, then, yes, you cannot simplify by cancelling. If this is a difference quotient and you want to take a limit as h goes to 0 then you have a problem! That limit will only exist if the numerator is also 0 when h= 0.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

MHB How do you factor expressions like 3(x + h)^4 - 48(x + h)^2?
Replies
2
Views
1K
MHB How Do I Factor This Expression?
Replies
6
Views
2K
MHB Algebraic expression simplification 2(2u+v)/u = 4(v^2-4u^2)/3u^2
Replies
4
Views
2K
I Alternating Harmonic Numbers are cool, spread the word!
Replies
4
Views
2K
B Missing out on intermediate algebraic steps
Replies
23
Views
2K
I Is there any way to simplify my proof by induction?
Replies
13
Views
2K
I Simplifying a fractional factorial with variables
Replies
13
Views
2K
I Possible simple formula for ellipse circumference
Replies
6
Views
2K
I How to think about x/x, or (x-1)/(x-1) etc.
Replies
9
Views
2K
Simplify this expression for the period
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top