Question

4(x+y)(x-y)+(x+y)2 2-степень

Answer 1

Ответ:

(x+y) (4(x-y) +x+y)

(x+y) (4x-4y+x+y)

(x+y) (5x-3y)

Answer 2

Ответ:

Объяснение:

4(x+y)(x-y)+(x+y)²=4(x²-y²)+(x+y)(x+y)=4(x²-y²)+(x²+xy+xy+y²)=4(x²-y²)+(x²+2xy+y²)=4x²-4y²+x²+2xy+y²=5x²-3y²+2xy

Answer 3

To simplify the expression 4(x+y)(x-y)+(x+y)^2 to the second power (2nd degree), follow these steps:

1. Start with the given expression: 4(x+y)(x-y)+(x+y)^2.

2. Expand the first term using the distributive property: 4(x+y)(x-y) = 4(x^2 - y^2) = 4x^2 - 4y^2.

3. Expand the second term using the distributive property: (x+y)^2 = (x+y)(x+y) = x^2 + 2xy + y^2.

4. Now, the expression becomes: 4x^2 - 4y^2 + x^2 + 2xy + y^2.

5. Combine like terms by adding and subtracting: (4x^2 + x^2) + (2xy) + (-4y^2 + y^2) = 5x^2 + 2xy - 3y^2.

So, the simplified expression, raised to the second power (2nd degree), is: 5x^2 + 2xy - 3y^2.