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So we are meant to rearrange the given equation in a way that it looks like: (x+p)^2 + q This should look familiar. It is obtained by completing the square. Which will be the method I will describe below:...

To differentiate a simple expression such as x^3 + 2x you simply multiply the power of the x by the multiple in front of the x value and then take away one from the power. For example the expression would...

These two brackets multiply out to form what is called a quadratic. We expand these two brackets using the "FOIL" method - this stands for First, Outside, Inside and Last. Therefore, the first t...

so lets deal with 2 first. We can express 2 in terms of log5 by the laws of logs. nlogx=logx^n. re-writing 2 as 2log5=log25 we now have log(x+1)+log5=log25. lets apply a different log law: log(a)-log(b)=l...

First it's importance to clarify what the question is asking: we're looking for the price of 18 litres of paint that is part white paint and part blue paint. One way to answer the question is to understan...