I don't understand how you take out common factors and combine them. Can someone teach me how you do these kinds of questions assuming that I only have enough knowledge to do C1 and C2?
I substituted the formula and get: 4(0.25)n^2(n+1)^2 - 3(1/6)n(n+1)(2n+1)
I simplify it to n^2(n+1)^2 - (1/2)n(n+1)(2n+1)
Now what do I do? I have no idea. In the mark scheme it says "take out common factors n and (n + 1)" but how? I don't understand what that means.
I don't understand how you take out common factors and combine them. Can someone teach me how you do these kinds of questions assuming that I only have enough knowledge to do C1 and C2?
I substituted the formula and get: 4(0.25)n^2(n+1)^2 - 3(1/6)n(n+1)(2n+1)
I simplify it to n^2(n+1)^2 - (1/2)n(n+1)(2n+1)
Now what do I do? I have no idea. In the mark scheme it says "take out common factors n and (n + 1)" but how? I don't understand what that means.
What do you mean when you say you do not understand
I have self-taught many chapters of FP1 but I just don't understand this bit.
Just use [ latex] tags, or look at the Latex sticky in this board.
Anyways, it's not exactly "simplification", because it can be argued either way which form is simpler.
The thing is that they ask for the answer in the form:
kn(n+1)(2n2−1)
Which means that you want to turn it into the product of 4 factors, n(n+1) being one of them. So it's not exactly simplification, but guided factorization.