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The general form of factorising is that if we have ab+ac, we can rewrite this as a(b+c). We multiply each statement inside the bracket by a. So we’re effectively ripping out common terms. We are dividing ...

First, we find the form of the two fractions we're going to get. As one denominator has a power of 2, and the other a power of 1, our answer will be of the form: [(Ax+B)/(x²+1)] + [C/(x+2)]. If...

Conduction, where particles within a conductor gain energy as they heat up and vibrate more vigorously passing energy onto adjacent particles as they collide. Convection, which only occurs in fluids, as f...

First we assign, for example, that x = cost of 1 book, and y = cost of 1 apple. Then we make these into simultaneous equations, such as: 3x+2y=19 (eqn. 1) and x+5y=15 (eqn. 2). Now multiply eqn. 2 to get ...

The subjunctive is a mood and not a tense unlike the perfect, imperfect, present and future. It is used to express doubt, desire, commands and fears. For example "il faut que" (command), j'ai pe...