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This is a question from Higher Tier and involves 1) realising that 2nd difference is a constant: 6. 2) knowing that constant 2nd difference implies the sequence is quadratic. 3) remembering or proving tha...

Recall that the general term in the binomial expansion of (x+y)^n is (nCr)(x^n-r)(y^r), so by the binomial theorem, the entire expansion is the sum of these terms from r = 0 to n. In this case, n = 33, th...

If we right down all we have here we get:P(A) = X P(B) = 0.2 P(AIB) = 0.75 (P(A) knowing B). And we are looking for P(ANB). We have to use the formula of P(AIB) = P(ANB)/P(B). If we rearrange the equ...

First of all you need to understand that not every problem can be solved by sistematically applying the same set of steps or rules: sometimes you need to come up with different ways. In order to do that, ...

We are trying to get to the form of x² + 5x + 6 = ( x + a)(x + b)6 must also factorise as 6x1 or 3x2 Let's focus first on the x terms : 5x is the sum of ax + dbx and the coefficient of these tw...