Question

Factorize x^3+ 6x^2 +12x+16​

Answer 1

Answer:

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

=x^3+6x^2+12x+8+8

=x^3+3.x^2.2+3.2^2.x+2^3+8

Now we can use the formula of cube.

=(x+2)^3+2^3

Now we will use another identity here.

=[x+2+2] [(x+2)^2-(x+2)2+2^2]

=[x+4] [x^2+4x+4 -2x-4+4]

=[x+4][x^2+2x+4]