표준 형태의 y = (2x +3) ^ 3 - (4x-2) ^ 2?

표준 형태의 y = (2x +3) ^ 3 - (4x-2) ^ 2?
Anonim

대답:

#:. color (파란색) (y = 8x ^ 3 + 20x ^ 2 + 70x + 23 #

설명:

# y = (2x + 3) ^ 3- (4x-2) ^ 2 #

먼저 단순화 # (2x + 3) ^ 3 #

#color (흰색) (aaaaaaaaaaaaa) ## 2x + 3 #

#color (흰색) (aaaaaaaaaaa) ## 밑줄 (xx 2x + 3) #

#color (흰색) (aaaaaaaaaaaaa) ## 4x ^ 2 + 6x #

#color (흰색) (aaaaaaaaaaaaaaaaaaa) ## 6x + 9 #

#color (흰색) (aaaaaaaaaaaaa) ##overline (4x ^ 2 + 12x + 9) #

#color (흰색) (aaaaaaaaaaa) ## xx 2x + 3 #

#color (흰색) (aaaaaaaaaaaaa) ##overline (8x ^ 3 + 24x ^ 2 + 18x) #

#color (흰색) (aaaaaaaaaaaaaaaaaa) ## 12x ^ 2 + 36x + 27 #

#color (흰색) (aaaaaaaaaaaaa) ##overline (색상 (자주색) (8x ^ 3 + 36x ^ 2 + 54x + 27) #

그런 다음 #color (녹색) ((4x-2) ^ 2 #

#color (녹색) (= (4x-2) (4x-2)) #

# (녹색) ((4x-2) ^ 2 = 16x ^ 2-16x + 4 #

#color (보라색) ((2x + 3) ^ 3 = 8x ^ 3 + 36x ^ 2 + 54x + 27 #

#:. y = 8x ^ 3 + 36x ^ 2 + 54x + 27- (16x ^ 2-16x + 4) #

#:. 색 (주황색) (y = 8x ^ 3 + 36x ^ 2 + 54x + 27-16x ^ 2 + 16x-4) #

#:. color (파란색) (y = 8x ^ 3 + 20x ^ 2 + 70x + 23 #