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A Tree Diagram is a useful tool to calculate probabilities. By drawing a "Tree Diagram" and writing down all possible outcomes, it is very easy to calculate simple probabilities by moving through t...

Factorising is a way of 'converting' an equation into a form with brackets in order to make it more useful and easier to manipulate. It is the reverse of expanding an equation. For example: To factorise the ...

To solve differential equations we use a method called separation of variables. This is where we take all the ‘y’ values to one side of the equation and all the ‘x’ values to the other side of the equation m...

Expand 5( x - 4) To expand the brackets, you must mutilpy the number outside the bracket by everything inside. Step 1) 5 x x = 5 x Step 2) 5 x (-4) = -20 Remember to include the minus sign Adding the answers...

Let f(x) = x^3 - 6x^2 + 11x - 6. Try x = 1： f(1) = 1 - 6 + 11 - 6 = 0 So x - 1 is a factot of f(x). Try x = 2： f(2) = 8 - 24 + 22 - 6 = 0 So x - 2 is a factot of f(x). Try x = 3： f(3) = 27 - 54 + 33 - 6 = 0 ...