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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 use the formula method (for solving quadratic equations) to find 'roots' or values of x that satisfy or 'work out' for a given quadratic equation of an unknown variable (say x.) The formula is:x=-b(+o...

The equation for complete combustion is: hyrdocarbon + oxygen -> water + carbon dioxide A plentiful supply of oxygen is required in order to ensure complete combustion.

Equation 1) x 2 +y 2 =5 (Equation 2) y=3x+1 The value of x is the same in both equations, as is the value of y. Therefore we can use one to work out the other. for example taking equation 1 and definining x ...