Factorise $1 + x + xy + x^{2}y$.

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

Solution

Group: $1 + x + xy(1+x) = (1+x) + xy(1+x) = (1+x)(1+xy)$.

Asked in: IMO

Practice more FACTORISATION questions on Aicharya