How do you factor $x^3 + 6x^2 + 12x + 8$ ?

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Answer 1 · 2016-08-25T19:16:21

$(x+2)^3$ .

The Expression $=x^3+6x^2+12x+8$

$=(x^3+8)+6x(x+2)$

$=ul((x+2))(x^2-2x+4)+6xul((x+2)$

$=(x+2){x^2-2x+4+6x}$

$=(x+2)(x^2+4x+4)$

$=(x+2){x^2+2(2)(x)+2^2}$

$=(x+2)(x+2)^2$

$=(x+2)^3$ .

How do you factor x^3 + 6x^2 + 12x + 8x^3 + 6x^2 + 12x + 8?