Question

099) Resolva
a)( x + 5)3=
b)(8 + 2x)=
c)(x-4)3 =
d)(y-3)=​

Answer 1

Resposta:

Explicação passo-a-passo:

a)( x + 5)^3=

= (X+5)^2.(x+5)

= (x^2 + 2.5x + 25).(x+5)

= (x^2 + 10x+25).(x+5)

= x^3 +5x^2+10x^2+50x+25x +125

= x^3 + 15x^2 + 75x + 125

___________

b)(8 + 2x)^3=

= (2x+8)^2 . (2x+8)

= (4x^2 + 2.8.2x + 64).(2x+8)

= (4x^2 + 32x + 64).(2x+8)

= 8x^3 + 32x^2 + 64x^2+ 8.32x + 128x + 8.64

= 8x^3 + 96x^2 + 256x + 128x + 512

= 8x^3 + 96x^2 + 384x + 512

____________

c)(x-4)^3 =

= (x-4)^2 . (x-4)

= (x^2 - 2.4x + 16).(x-4)

= (x^2 - 8x + 16).(x-4)

= x^3 - 4x^2 - 8x^2 +32x +16x - 64

= x^3 - 12x^2 + 48x - 64

-------------------

d)(y-3)^3 =​

= (y-3)^2 . (y-3)

= (y^2 - 2.3y + 9).(y-3)

= (y^2 - 6y + 9).(y-3)

= y^3 - 3y^2 - 6y^2 + 18y + 9y - 27

= y^3 - 9y^2 + 27y - 27