(a) The equation uv+3u−3v−18=0 is equivalent to (u−a)(v+b)=9. Write down the values of a and b. (1 mark) (b) Hence find all integer solutions of the equation uv+3u−3v−18=0. (3 marks) (Note: 'integers' means whole numbers, which can be positive, negative or zero.) (c) Find all integer solutions of the equation x2−y2+6y−18=0. (6 marks)
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