Question

prove that n^3+6n^2+11n+6 = (n+1)(n+2)(n+3)​

Answer 1

Step-by-step explanation:

i hope it may help you

your question is proved

Answer 2

Step-by-step explanation:

n^3+6n^2+11n+6 = (n+1)(n+2)(n+3)

RHS= (n+1)(n+2)(n+3)

= (n^2+3n+2)(n+3)

=(n^2+3n+2)(n) + (n2+3n+2)(3)

= n^3+3n^2+2n+3n2+9n+6

= n3+6n^2+11n+6

=LHS

LHS=RHS

n^3+6n^2+11n+6 = (n+1)(n+2)(n+3)

Hence proved