SOLUTION: I need more detail solution: Evaluate A = (a^2 − 3a +1)^2 − (1− a)(−2a +1)(1− 3a)

Question 823878: I need more detail solution:
Evaluate A = (a^2 − 3a +1)^2 − (1− a)(−2a +1)(1− 3a)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
A way I think is easier:

Taking out as a common factor from and we get

Notice that the second term, ,
and the third term, ,
are opposites and cancel each other out.
So we are left with

The clench your teeth and dive in way:

Since the two expressions in brackets are the same, they cancel out, and we are left with

TIP:
To calculate products like
,
it is better to calculate with pen and paper
by multiplying each term of times ,
writing each product in a row,
lining up like terms from the different products,
and then adding up the lines, like this:

------------------------------

I do it that way, writing only the parts on the left, before the = sign (the rest I only wrote it here to describe how I calculated each line).
Trying to write the calculations on one line, I would get confused and make a mistake.
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SOLUTION: I need more detail solution: Evaluate A = (a^2 − 3a +1)^2 − (1− a)(−2a +1)(1− 3a)