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To factorise 3a³b + 12a²b² + 9a⁵b³, we need to deal with like elements together.Start with the integers. The highest common factor of 3, 12, and 9 is...

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...

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...

Equation 1) x² +y²=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 exa...

(Equation 1) 5x + 2y = 20 (Equation 2) x + 4y= 13
As we know the values for x and y are the same in both equations, we can use them to find out the values for both, In order to do this we need to tak...