this problem is an algebriac division, here it has been asked to divide by the use of formulae rather than using the long division method of algebra division:-
divide a^5 - b^5 + (b^10/a^5) by a - b + (b^2/a)
answer given:- a^4 + (a^3)b - a(b^3) - b^4 - (b^5/a) + (b^7/a^3) + (b^8/a^5)
my solution:-
i dont know i do not get a whiff of it --- how to think of such a thing?
the problem remains that at least how do i know if this (of any other problem ) could be solved by use of formulae and does not warrant the use of long division techniques?
Can you recommend any reading / books ..etc
divide a^5 - b^5 + (b^10/a^5) by a - b + (b^2/a)
answer given:- a^4 + (a^3)b - a(b^3) - b^4 - (b^5/a) + (b^7/a^3) + (b^8/a^5)
my solution:-
i dont know i do not get a whiff of it --- how to think of such a thing?
the problem remains that at least how do i know if this (of any other problem ) could be solved by use of formulae and does not warrant the use of long division techniques?
Can you recommend any reading / books ..etc
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