Factorise $(x+1)^{3} + (x+1)^{2}$.

Factorise $(x+1)^{3} + (x+1)^{2}$.
  1. $(x+1)^{2}(x+2)$
  2. $(x+1)^{2}(x+1)$
  3. $(x+1)(x^{2}+1)$
  4. $(x+1)^{3}(x+2)$

Solution

Common factor is $(x+1)^{2}$. $(x+1)^{2}\big[(x+1)+1\big] = (x+1)^{2}(x+2)$.

Asked in: IMO

Practice more FACTORISATION questions on Aicharya