1)
x²+3x-88 =
= x²+11x - 8x - 88 =
= (x²+11x) - (8x + 88) =
= x·(x+11) - 8·(x + 11) =
= (x+11)·(x -8)
2)
2x² - 3x + 1 =
= 2x²- 2x - x + 1 =
= (2x²- 2x) - (x - 1) =
= 2x·(x- 1) - 1·(x - 1) =
= (x- 1)·(2x - 1)
3)
3x² + 11x - 14 =
= 3x² + 14x - 3x - 14 =
= (3x² - 3x)+ (14x - 14) =
= 3x·(x - 1)+ 14·(x - 1) =
= (x - 1)·(3x + 14)
После всех преобразований дробь такая: (-(1+tg^8alpha))/(1+tgalpha). tg45=1. Ответ:-1
(5^2)^3*5^-6=5^6*5^-6=5^0=1
Метод математической индукции