+577 so i dont know the difference between the binomial theorem and pascals triangle. why do they give such different solutions.
one example.
(2x-3)^4 can give two very different (and long) solutions
why?
+118670 They don't they are the same.
(2x-3)^4
The 4 line of pascals triangle is 14641
so
\((2x-3)^4\\=1*(2x)^4+4*(2x)^3*(-3)^1+6*(2x)^2*(-3)^2+4*(2x)^1*(-3)^3+1*(-3)^4\\ =1*16x^4+4*8x^3*-3+6*4x^2*9+4*2x^1*-27+1*81\\~\\ =1*16x^4+4*-24x^3\;\;+\;\;6*36x^2\;\;+\;\;4*-54x\;\;+\;\;1*81\\~\\ =16x^4-96x^3+216x^2-216x+81 \)
There could be careless errors but this should be the same as if you expand it in any other way.
