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Firstly, I would suggest that we draw a diagram to visualise the problem. Using the diagram and knowledge of rectangles, you can see that the rectangle is made of two right angled triangles. Thus we can u...

Firstly, to expand the brackets, we can use the FOIL method to multiply them out.First - multiply the first numbers of each bracket. 3x * 4x = 12x^2Outer - multiply the outer numbers of each...

Total wage each week= £420. In one week, he saves 15% of this: 15% of 420 is 0.15 x 420 = £63. So he saves £63 in one week. To calculate the total number of weeks it takes to save up for the phone, divide...

If we knew (x² + 6x) to be the first two terms of a perfect square expression, but not the constant term that would follow, we can work it out. We would use the fact that the expression can be ...

In order to solve this equation you want to get all of the unknowns on one side of the equal sign and all of the numbers on the other side. However, before you do this, the first step is to expand the bra...