An equation

Any help please why the following algebraic identity is true

$$\frac{k^2}{k^2-m^2} = 1 + \frac{m^2}{k^2-m^2}$$

thanks

Answers and Replies

berkeman
Mentor
Any help please why the following algebraic identity is true

$$\frac{k^2}{k^2-m^2} = 1 + \frac{m^2}{k^2-m^2}$$

thanks

Try putting the two terms on the RHS over a common denominator....

Of course! Thanks, Berkeman

arildno
Science Advisor
Homework Helper
Gold Member
Dearly Missed
Alternatively, use polynomial division on LHS.

Or you can multiply both LHS and RHS by (k2-m2) and cancel out the denominators. Probably the easiest way.

Cool. Now it is more obvios than obvious. Funny, first when I saw it, the equation looked wrong.

Anyway, does anybody know perhaps a good site where there are examples of rearranging and solving algebraic equations (and all the tricks that come along with it)? I know all the rules, but I always liked to have some more practise.

Ivans92's solution is probably the easiest one but some like the polynomial division as well and are very quick with thes solution . Just practice and youll realise what you like/can best.

What kind of math are you in? If you can, try getting a textbook related to the math course you have. Textbooks will always have exercises, ranging from basic to challenging.

Shame on you Lapidus ! can 'nt you just do the first simple thing, sum the two and find it!