Question

Factorise x^3 + y^3 + xy ( x+y)​

Answer 1

Answer:

(x+y)(x^2+y^2)

Step-by-step explanation:

x^3+y^3+xy(x+y)

=x^3+y^3+(x^2)y+(x)y^2

=x^3+(x^2)y+y^3+(x)y^2

=x^2(x+y)+y^2(y+x)

=(x+y)(x^2+y^2)

Cheers!