3/b²-2b+1 - 6/b²-1 + 3/1+2b+b² = 3/(b-1)² - 6/(b-1)(b+1) + 3/(1+b)² = 3(b+1)²-6(b-1)×(b+1)+3(b-1)²/(b-1)²×(b+1)² = 3(b²+2b+1)-6(b²-1)+3(b²-2b+1)/((b-1)×(b+1))² = 3b²+6b+3-6b²+6+3b²-6b+3/(b²-1²) = 12/(b²-1)² = 12/(√10²-1)² = 12/(10-1)² = 12/9² = 12/81 = 4/27
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3/b²-2b+1 - 6/b²-1 + 3/1+2b+b² = 3/(b-1)² - 6/(b-1)(b+1) + 3/(1+b)² = 3(b+1)²-6(b-1)×(b+1)+3(b-1)²/(b-1)²×(b+1)² = 3(b²+2b+1)-6(b²-1)+3(b²-2b+1)/((b-1)×(b+1))² = 3b²+6b+3-6b²+6+3b²-6b+3/(b²-1²) = 12/(b²-1)² = 12/(√10²-1)² = 12/(10-1)² = 12/9² = 12/81 = 4/27