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This is a step above a partial fraction question seen in core 1 and core 2, made mkre difficult due to the double (repeated) root of x. To solve this we must consider that there is 3 separate roots, x, x^...

To begin to solve this question, we need to re-arrange the equations presented so they both appear in terms of 3y=. This will allow us to get a value for y and thus a value for x. First re-arrange the fir...

One way to solve simultaneous equations is to express x in terms of y (or vice versa) and solve your new equation to find one of the values. You can then substitute this into your equation to work out the...

In a question asking us to simplify, we know that our task is to reduce the number of terms presented as far as possible. We should begin inside the brackets by attempting to express both our numbers, 3 a...

None caluclator paper, so you know that the divisions/multiplications will be relatively simple. First thing to do is convert both measurements we have into the same units (in this case millimetres). We s...