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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)...
The first thing to do, is to assess how far the student has managed to work, and then find the missing pieces within the students skill or knoweldge. I might decide to go through the question with the stu...
If you have a plot of the function, you can look at its symmetries. If the plot to the left of the y axis is the mirror image with respect to the y axis of the plot to the right, it's an even function. If...
This is a classic example of a trigonometry problem using the angle addition formulae. Recall that cos(A+B) = cos(A)cos(B) - sin(A)sin(B). Express R(x/2 -z) in similar form: Rcos(...
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