Need help to factorise this question
a^3+3(a^2)*b+2(a^2)*c+3ab^2+4abc+ac^2+b^3+2(b^2)*c+b*c^2
Any advice / help/ hint is greatly appreciated.
Thanks.
Managed to factorise this question a^2+4b^2+c^2 - 4ab - 4bc
+ 2ac = a^2 +(- 2b)^2 +c^2 +2(a)(- 2b) +2(- 2b)(c) + 2(a)(c) = (a -
2b + c)^2 but how to apply the concept to the above question or are
there any method to factorise this type question easily other
than using taking out common factor, grouping, difference in
squares, trial and error method, factorising a cubic expression by
finding the first factor - these methods cannot seem to be
able to factorise the above question.
Wolfram can factorise the above question but the program does
not show the steps or method used to factorise the above
question.
The multinomial theorem only shows the expansion but it does not
show how the expanded terms can be factorised back to its original
form.
Heres my standard solution to the question
http://www.freefilehosting.net/eqn_1
You dont need to rely on "do it yourself" methods such as
pattern spotting or grouping to solve problem. Simply follow
the steps, and any such problems can be solved without fail.