i am given a question to show that
hence factorise and find the roots of the equation..
i have used the binomial expansion theorem to prove the first part of the question but i am having difficulty in factorizing the second equation.... anyone can show me how this is done..
i write as but i still cant get it in a form to factorize it.
You can do anything. In fact, to prove left side = right side all you really have to to is expand the brackets on the right side and this will sufficiently prove the condition.
But getting back to the roots. If you sub in the values into that form where do you go from there? Instead of a difference of squares we now have (something + something) (something squared + something squared) = 0.
Of course we can find the root of the something + something, but how do we find the roots from the other bracket (which has the squared terms)? It's rather difficult yes.
So it is easiar to do it by difference of sqaures. At least as far as I can see.