Вправи 1001 - 1100 » 1099

1099. Спрости вираз. a) (〖2a〗^2- 10a)/(a^2- 2a-3) • (a^2+2a-15)/(a^2- 25) – (a-1)/(a+1) = (2a(a-5))/((a-3)(a+1)) • ((a+5)(a-3))/((a-5)(a+5)) – (a-1)/(a+1) = 2a/(a+1) – (a-1)/(a+1) = (2a-a+1)/(a+1) = (a+1)/(a+1) = 1. б) (5/(x^2+ 7x+12) – 1/(x^2+ 5x+6) + x/(x^2+ 6x+8))) • ((x+2)(x+3)/((x+1)(x+6)) = (5^(\x+2)/((x+4)(x+3)) – 1^(\x+4)/((x+2)(x+3)) + x^(\x+3)/((x+2)(x+4))) • ((x+2)(x+3))/((x+1)(x+6)) = (5x+10-x-4+ x^2+ 3x)/((x+2)(x+3)(x+4)) • ((x+2)(x+3))/((x+1)(x+6)) = (x^2+ 7x+6)/(x+4) • 1/((x+1)(x+6)) = ((x+1)(x+6))/(x+4) • 1/((x+1)(x+6)) = 1/(x+4).