Question

x^3+6x^2+12x+16
factorise this question ​

Answer 1

Answer:

(x+4)(x^2+2x+4)

Step-by-step explanation:

x^3+6x^2+12x+16

x^3+5x^2+x^2+4x+8x+16

x^3+5x^2+4x+x^2+8x+16

x^3+4x^2+x^2+4x+x^2+4x+4x+16

x^2(x+4)+x(x+4)+x(x+4)+4(x+4)

(x+4)(x^2+x+x+4)

(x+4)(x^2+2x+4)