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Imagine there's a cake, and you wanted to share that cake evenly between three people. You would cut the cake into three pieces and each person would get a piece. Now, imagine you had another cake and sti...

To write this sum as a single fraction we need to put both of them over a common denominator. Our common denominator will be the simplest thing that has both 3 and 5 as a factor, which is 15 (x-2)/3 + (x+...

Firstly, note the general equation for a quadratic: ax^2+bx+c. We can see that in the above equation, a=1, b=2 and c=-8. When factorising we have to consider the product ac and b. ac=1(-8)=-8 and b=2. Now...

x=-1, y=-2 x=2/5, y=11/5 or 2 and 1/5

If a denominator is has just one square root (i.e 1/(3)^0.5). Then, since it is a fraction you can multiply top and bottom by the same number and maintain the value of the fraction. Hence we multiply top ...