Question

(x²- xy+y²)(x+y)

Answer 1

\(\left(x^2-xy+y^2\right)\left(x+y\right)=x^3+y^3\)

Answer 2

\(\left(x^2-xy+y^2\right)\left(x+y\right)=x^3+y^3\)

Answer 3

\(\left(x+y\right)\left(x^2-xy+y^2\right)=x^3+y^3\)

Answer 4

(x²- xy+y²)(x+y)=(x-y)²(x+y)=(x-y)(x²-y²)=x³-xy²-x²y+y³

Answer 5

(x²- xy+y²)(x+y)

= x³ +x²y - x²y - xy² + xy² + y³

= x³ + y³

Answer 6

\(\left(x^2-xy+y^2\right)\left(x+y\right)\\ =x\cdot\left(x^2-xy+x^2\right)+y\cdot\left(x^2-xy+y^2\right)\\ =x^2x+\left(-xy\right)\cdot x+y^2x+x^2y+\left(-xy\right)\cdot y+y^2y\\ =x^3-x^2y+xy^2+x^2y-xy^2+y^3\\ =x^3+y^3+\left(xy^2-xy^2\right)+\left(xy^2-xy^2\right)\\ =x^3+y^3\)