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Solve the equation x 2 =2x (solve x 2 -2x=0 by factorisation). Sketch the graphs y=x 2 and y=2x, using standard graph shapes. Look at the sketch to see for which values of x the graph y=x 2 lies above y=2x; ...

To factorise 3a 3 b + 12a 2 b 2 + 9a 5 b 3 , we need to deal with like elements together.Start with the integers. The highest common factor of 3, 12, and 9 is 3. Therefore we factor out the 3 and the express...

To do this, we first need to calculate the prime factorisations of 432 and 522, that is to say we need to break the numbers down into their prime factors.Let's start with 432. 432 = 2 x 216432 = 2 x ( 2 x 10...

We can calculate the area of a circle using the following formula:A = pi x r 2 The area we are given is 16pi. Therefore, we can divide both sides by pi. So,16pi = pi x r 2 becomes16 = r 2 We can squareroot b...

To answer this question, we need to form an equation to work out the nth term of the series. To do this, the first thing we do is calculate the difference between each term.7 - 3 =411 - 7 = 415 - 11 = 4The d...