Hvad er standardformen for y = (-10x-1) ^ 3 + (- 3x + 1) ^ 2?

Hvad er standardformen for y = (-10x-1) ^ 3 + (- 3x + 1) ^ 2?
Anonim

Svar:

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

Forklaring:

Standardform kubisk ligning er # Ax ^ 3 + bx ^ 2 + cx + d #

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

# 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-cancel1 + cancel1-6x + 9x ^ 2 #

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