Question

(x+y)(x²-xy+y²)+(x-y)(x²+xy+y²)​

Answer 1

Step-by-step explanation:

(x+y)(x²-xy+y²)+(x-y)(x²+xy+y²)

x³-x²y+xy²+x²y-xy²+y³+x³+x²y+xy²-x²y-xy²-y³

2x³

Answer 2

Answer:

2x^3+3yx^2+3xy^2

Step-by-step explanation:

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

=(x+y)(x+y)^2+[x(x^2+xy+y^2)-y(x^2+xy+y^2)]

=(x+y)^3+(x^3+yx^2+xy^2-yx^2-xy^2-y^3)

=[x^3+y^3+3xy(x+y)]+(x^3-y^3)

=x^3+y^3+3yx^2+3xy^2+x^3-y^3

=2x^3+3yx^2+3xy^2