Question

factorize this -
x3 + 6x² + 12x + 9​

Answer 1

This equation is of the form (a+b)³

(a+b)³ = a³+3a²b+3ab²+b³

x³+6x²+12x+8 = x³+3 × 2 × x² + 3 × 2² × x + 2³

hence the factorized answer will be (x+2)³

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Answer 2

Answer:x=-9/3  or x=-1/2

Step-by-step explanation:3x+6x^2+12x+9

                                           =6x^2+15x+9

                                           =6x^2+3x+18x+9

                                           =3x(2x+1)+9(2x+1)

                                           =(3x+9)(2x+1)

                                          therefore, x=-9/3  or x=-1/2