4×3+3x2y+4xy2+3y3

Group the first two terms and the last two terms.

(4×3+3x2y)+4xy2+3y3

Factor out the greatest common factor (GCF) from each group.

x2(4x+3y)+y2(4x+3y)

x2(4x+3y)+y2(4x+3y)

Factor the polynomial by factoring out the greatest common factor, 4x+3y.

(4x+3y)(x2+y2)

Factor by Grouping 4x^3+3x^2y+4xy^2+3y^3