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15x2 - 24x + 9 = 3*(5x2 - 8x + 3) = 3*(5x2 - 5x - 3x + 3)= 3*[5x(x - 1) -3*(x - 1)]

= 3*(5x - 3)*(x - 1) . . . . . (A)

3x - 3 = 3*(x - 1) . . . . . . . (B)

So, (A) and (B) have 3*(x - 1) as common factors and cancelling these gives

(A)/(B) = 5x - 3

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15y ago

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