Question

factorise: x^3 +6x^2 +12x +16
write steps

Answer 1

Answer:

Step-by-step explanation:

x³ + 6x² + 12x + 16

= x³ + 3*2x² + 3*x*2² + 2³ + 8

//The first part is of form (a+b)³ = a³ + 3a²b + 3ab² + b³

= (x + 2)³ + 2³

//This is of form a³ + b³ = (a+b)(a² - ab + b²)

= (x + 2+2)[(x+2)² - (x+2)(2) + (2)²]

= (x + 4)(x² + 4x + 4 - 2x - 4 + 4)

= (x + 4)(x² + 2x +4)