Question

Efetive:
A) (x+2)³
B) (a-4b)³
C) (1-10x)³
D) (x+Y)³

Answer 1

a) (x + 2)³
(x + 2)(x + 2)(x + 2)
(x² + 2x + 2x + 4)(x + 2)
(x² + 4x + 4)(x + 2)
x³ + 2x² + 4x² + 8x + 4x + 8
x³ + 6x² + 12x + 8

b) (a - 4b)³
(a - 4b)(a - 4b)(a - 4b)
(a² - 4ab - 4ab + 16b²)(a - 4b)
(a² - 8ab + 16b²)(a - 4b)
a³ - 4a²b - 8a²b + 32ab² + 16ab² - 64b³
a³ - 12a²b + 48ab² - 64b³

c) (1 - 10x)³
(1 - 10x)(1 - 10x)(1 - 10x)
(1 - 10x - 10x + 100x²)(1 - 10x)
(1 - 20x + 100x²)(1 - 10x)
1 - 10x - 20x + 200x² + 100x² - 1000x³
1 - 30x + 300x² - 1000x³

d) (x + y)³
(x + y)(x + y)(x + y)
(x² + xy + xy + y²)(x + y)
(x² + 2xy + y²)(x + y)
x³ + x²y + 2x²y + 2xy² + xy² + y³
x³ + 3x²y + 2xy² + y³

BONS ESTUDOS

Answer 2

regra do cubo

cubo do 1° termo
± 3,(1°)².2°
+3.1°.(2°)²
±cubo do 2°

vamos lá
presta atenção, siga a regra

A)
(x+2)³=
x³ +3.x².2 + 3.x.2² +2³
x³+6x²+12x+8

B)
(a-4b)³=
a³ - 3.a².4b +3.a.(4b)² -(4b)³=
a³ -12a²b +3a.16b² -64b³=
a³-12a²b+48ab² -64b³=
a³ -12a²b +48ab²-64b³

c)
(1-10x)³=
1³ -3.1².10x +3.1.(10x)² -(10x)³=
1 -30x +3(100x²) - 1000x³=
1 -30x +300x² -1000x³

D)
(x+y)³=
x³ +3.x².y +3.x.y² +y³=
x³ +3x²y +3xy² +y³