All of these questions below are supposed to be brain teasers/summer holiday homework! Can someone please help?
1) Suppose x(x + a) - 10 = (x - b)(x + c). Suggest a possible set of values of a, b and c.
2) For the expression ax^2 + bx + 25, write down two possible sets of the values of a and b such that the expression is a perfect square.
3) Suggest two ways of factorising x^6 - y^6.
4) Find two fractions with different denominators such that their difference is 2x -y/4xy.
There are actually 20 questions like this, but I've already figured most of them out, except for these. I would really appreciate it if you guys helped me out
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