Y = (-10x-1) ^ 3 + (- 3x + 1) ^ 2'nin standart formu nedir?

Y = (-10x-1) ^ 3 + (- 3x + 1) ^ 2'nin standart formu nedir?
Anonim

Cevap:

# y = -1000x ^ 3-291x ^ 2-36x #

Açıklama:

Standart form kübik denklem # Ax ^ 3 + x ^ 2 + Cx + d #

# y = (-10x-1) ^ 3 + (1-3x) ^ 2 # veya

# y = - (10x + 1) ^ 3 + (1-3x) ^ 2 #

# y = - {(10x) ^ 3 + 3 (10x) ^ 2 * 1 + 3 * 10x * 1 ^ 2 + 1 ^ 3} + 1-6x + 9x ^ 2 #

# (A + b) ³ = a³ + 3a²b + 3ab² + b³ #

# y = - (1000x ^ 3 + 300x ^ 2 + 30x + 1) + 1-6x + 9x ^ 2) #

# y = -1000x ^ 3-300x ^ 2-30x-iptal1 + iptal1-6x + 9x ^ 2 #

# y = -1000x ^ 3-291x ^ 2-36x # Ans