Search over 10,000 free study notes

First, note that we have x² in the denominator. This tells us that x² cannot equal to 0. So we have the boundary condition that x is not equal to 0. Now, to get rid of the denominato...

=((143x)-(147y))+((-2x21)-(-2xy))=42x-98y-42x+2xy=2xy-98y

So what does it mean when we factorise? Well, we want to take the highest common factor (HCF) of both of these algebraic terms and we want to take that outside the back to simplify the expression. First, ...

Expanding 3 brackets is very much the same method as expanding 2. In the example you gave, to start you would expand the first two brackets out using the FOIL method (firsts, outsides, insides and leftove...

To find the minimum point of a quadratic equation, the quadratic should be written in the form '(x+a)²+ b', i.e. completing the square, where the coordinates of the minimum point will be (-a,b)...