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Let y=(2x^(2))/((x-2)(x-3)(x-4))+(3x)/((...

Let `y=(2x^(2))/((x-2)(x-3)(x-4))+(3x)/((x-3)(x-4))+(x)/(x-4)` .If `(x)/(y)(dy)/(dx)=(a)/(2-x)+(b)/(3-x)+(c)/(4-x)` then `a+b+c` is

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Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))