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Ideally you're aiming to find common factors on both sides of the fraction that cancel out. Firstly we can break this question down into two bits. First bit is factorising 3x^2 -14x+5. Factorizing this wo...

To find the value of a divide the coeffecient of x. Here this would be 6/2 which = 3. If we were to expand (x + 3)^2 + b this would give us:x^2 + 3x +3x + 3^2 +b which simplifies to x^2 + 6x + 3^2 + b. If...

I would guide the student through the process, as this will be far more beneficial to their learning rather than just telling them the answer. So first I'd ask what would happen if they d...

There are 2 possible cases.

First when n is even, then let n = 2k where k is a positive integer.
Substituting n = 2k gives us:
(2k)³ + 3(2k) -1
= 8k³ + 6k ...

Cost = (13.50 x number of children) + 23.Cost = (13.50 x 8) + 23.BIDMAS. Brackets first.Cost = 108 + 23 = £131.