Is there any formula to convert three terms to 2 terms of each has one term:
like: x^2+x+1 ---multiply by x-1/(x-1) = (x^3-1)/(x-1).
The equation is:
4x^2 +3x+1.

Question

Is there any formula to convert three terms to 2 terms of each has one term:
like: x^2+x+1 --->multiply by x-1/(x-1) = (x^3-1)/(x-1).
The equation is:
4x^2 +3x+1.

hartnn · Answer

*
if there is, i would also like to know :)

perl · Answer

so you want to change the three terms 4x^2 + 3x + 1 to two terms (A x^ 3 - B) / (x - C) ?

perl · Answer

the directions are a bit confusing. 
 
"Is there any formula to convert three terms to 2 terms `of each has one term`:"

what do you mean by the highlighted

anonymous · Answer

Yea with any trick not x^3-c specifically.

anonymous · Answer

I meant not telling me to 1+x(4x+3)

anonymous · Answer

I want to use binomial expansion one time for this expression when it's raised to power half.

perl · Answer

ok so you want to convert quadratic expression into a (binomial expression / binomial expression)

anonymous · Answer

Yea or any trick which could help.

anonymous · Answer

I don't understand what you mean :)

anonymous · Answer

OK the question was expand (4x^2 +3x+1)^-1
for five terms.
making it (x(4x+3)+1)^-1 will give you 5terms and they will cancel out ,so i looked for a formula to figure how would i knew that they will be cancelled.