Forma standard a lui y = (2x +3) ^ - (4x-2)

Forma standard a lui y = (2x +3) ^ - (4x-2)
Anonim

Răspuns:

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

Explicaţie:

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

Mai întâi simplificați # (2x + 3) ^ 3 #

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

#color (alb) (aaaaaaaaaaa) ## subliniază (xx 2x + 3) #

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

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

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

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

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

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

#color (alb) (aaaaaaaaaaaaa) ##overline (culoare (mov) (8x ^ 3 + 36x ^ 2 + 54x + 27) #

Atunci simplificați #color (verde) ((4x-2) ^ 2 #

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

#:. culoare (verde) ((4x-2) ^ 2 = 16x ^ 2-16x + 4 #

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

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

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

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