Question 86976
[(4x+1) / (25x^2+15x+2)] - [(3x-2) / (30x^2+11x+1)]

= [(4x+1) / (5x+1)(5x+2)] - [(3x-2) / (5x+1)(6x+1)]

lcd = (5x+1)(5x+2)(6x+1)

= [(4x+1)(6x+1)/lcd] - [(3x-2)(5x+2)/lcd]

=[24x^2+10x+1 - (15x^2-4x-4)]/lcd

=[9x^2+14x+5]/lcd

=[(9x+5)(x+1)]/[(5x+1)(5x+2)(6x+1)]

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Cheers,
Stan H.