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There are a few different ways to approach this problem. The most obvious is to attempt to factorise x³ + 2x² - 9x - 18. However it is very difficult to approach the problem like thi...

6x^2 + 7x + 2 can be written in the form ax^2 + bx + c. In order to factorise this I use the following method which can be used to factorise similar equations. Multiply 'a' and 'c' to get ac (here this is...

Answer : y = 3/x² + c/x⁴  Integrating factor is 4/x (1 mark) => I = e^{integral (4/x) dx} (1 mark) => I = x⁴ (1 mark). Using the f...

This took me some time to get my head around so I know what you mean. I always like to think of proof by induction like dominoes. Once you've pushed the first domino in line of dominos, you know it's goin...

The first step with this question is to expand all the brackets; this will produce the following equation:

2a + ai + 2b + bi = b + 1 + 10i + 2ai

The next step is to put all the terms which c...