Question

(x+y) (x²-xy+y²)+(x-y) (x²+xy+y²)​

Answer 1

Ответ:

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

Объяснение:

Answer 2

Відповідь: (x+y) (x²-xy+y²)+(x-y) (x²+xy+y²)​ =

Answer 3

To simplify the expression (x+y)(x²-xy+y²) + (x-y)(x²+xy+y²), we can expand each term separately and then combine like terms. Let's start:

Expanding (x+y)(x²-xy+y²):

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

Expanding (x-y)(x²+xy+y²):

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

Now, let's simplify the expression:

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

So, the simplified expression is 2x³.