Ang karaniwang anyo ng y = (2x +3) ^ 3 - (4x-2) ^ 2?

Ang karaniwang anyo ng y = (2x +3) ^ 3 - (4x-2) ^ 2?
Anonim

Sagot:

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

Paliwanag:

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

Unang gawing simple # (2x + 3) ^ 3 #

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

#color (white) (aaaaaaaaaaa) ## underline (xx 2x + 3) #

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

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

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

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

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

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

#color (white) (aaaaaaaaaaaaa) ##overline (kulay (purple) (8x ^ 3 + 36x ^ 2 + 54x + 27) #

Pagkatapos ay pasimplehin #color (green) ((4x-2) ^ 2 #

#color (green) (= (4x-2) (4x-2)) #

#:. color (green) ((4x-2) ^ 2 = 16x ^ 2-16x + 4 #

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

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

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

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