4x^3y+4x^2y^2+xy^2

4x^3y+4x^2y^2+xy^2

Should be
Extracting the common factor XY from 4x ^ 3Y + 4x ^ 2Y ^ 2 + XY ^ 3
=XY (4x & # 178; + 4xy + Y & # 178;) complete square
=xy(2x+y)²