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(Question from AQA A level maths specimen papers) When looking at this question, you need to appreciate the steps required in order to reach the final answer before diving straight in. Firstly, the questi...

To solve this question we will first have to think of how we can solve something with two variables. The most common method is through elimination where we remove a variable so then we have an expression ...

Step 1: multiply (5sqrt(3)-6)/(2sqrt(3)+3) by (2sqrt(3)-3)/(2sqrt(3)-3) (this is a trick called CONJUGATION as you're really just multiplying the fraction by 1. Step 2: Expand and ...

when multiplying indices you need to add the powers (only if the base number is the same -> need to ensure they are denoted with the same letter)

4 + 3 = 7

therefore the answer is c^7

factorise the top fraction: 3x^2 - x - 2 = (3x + 2)(x - 1)

factorise the bottom fraction: x^2 -1 = (x + 1)(x - 1)

cancel out the (x - 1) and the final result is (3x + 2) / (x + 1)