factorizacion de un cubo cuadrado perfecto

a3 + 12a2 + 48a + 64 = (a + 4)3

a 4
3.a2.4 3.a.42
12a2 48a


x3 + 27 + 9x2 + 27x = (x + 3)3

x 3
3.x2.3 3.x.32
9x2 27x


1 + y3 + 3y2 + 3y = (1 + y)3

1 y
3.y.12 3.y2.1
3y 3y2


15x2 + 125 + 75x + x3 = (5 + x)3

5 x
3.x2.5 3.x.52
15x2 75x

x3 + 6x2 + 12x + 8 = (x + 2)3

x 2
3.x2.2 3.x.22
6x2 12x
a)5x3 + 6 x2 + 12 x + 8 = ( x + 2)3
x 2
3.( x)2.2 3. x.22
3. .x2.2 12 x
6 x2

b)3a3 + 3. a2b2 + 3.a.b4 + b6 = (a + b2)3

a b2
3.(a)2.b2 3.a.(b2)2
3. a2b2 3.a.b4


c)y12 - 7x3 - 3 y8.x + 3 y4x2 = (y4 - x)3


y4 -x
3. (y4)2.(-x) 3.y4.(-x)2
-3y8x 3y4x2


125x^3 + 300x^2+240x+64= (5x+4)^3


512y^3+96y^2+48y+2=(8y+2)^3


8w^3+60w^2+150w+125=(2w+5)^3


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


y^3+9y^2+27y+9=(y+3)^3