Question

Преобразовать в многочлен. (x+y-z)(x-y+z)-(x+y+z)(x-y-z)

Answer 1

(x²-xy+xz+xy-y²+yz-xz-yz-z²)-(x²-xy-xz+xy-y²-yz+zx-zy-z²)=x²-y²-z²-x²+y²+z²=0.

Answer 2

Converting the Expression to a Polynomial

To convert the given expression into a polynomial, we can start by expanding the given expression and then simplifying it.

The given expression is: (x+y-z)(x-y+z)-(x+y+z)(x-y-z)

Expanding the Expression

To expand the given expression, we can use the distributive property to multiply each term in the first expression by each term in the second expression and then simplify the resulting expression.

Expanding the given expression: (x+y-z)(x-y+z) - (x+y+z)(x-y-z)

Simplifying the Expanded Expression

After expanding the expression, we can simplify it by combining like terms and performing the necessary arithmetic operations.

The resulting polynomial will be the simplified form of the expanded expression.

Let's proceed with the expansion and simplification of the given expression.