Question

3) 1) (x + y)+(x + y)”.4)​

Answer 1

Ответ:

(x+y) +(x+y)

X+y+(x+y)

X+y+x+y

2x+y+y

2x+2y

Answer 2

It seems like you want to simplify the expression (x + y) + (x + y)^4. To do this, let's break it down step by step.

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

2. We can rewrite (x + y)^4 as [(x + y)^2]^2. This is because raising something to the fourth power is the same as squaring it and then squaring the result again.

3. Now, we'll expand (x + y)^2 using the binomial formula: (x + y)^2 = x^2 + 2xy + y^2.

4. So, we have: [(x + y)^2]^2 = (x^2 + 2xy + y^2)^2.

5. To simplify further, we'll use the formula for squaring a binomial: (a + b)^2 = a^2 + 2ab + b^2.

   Applying this formula to our expression: (x^2 + 2xy + y^2)^2 = (x^2)^2 + 2(x^2)(2xy) + (2xy)^2 + 2(x^2)(y^2) + 2(2xy)(y^2) + (y^2)^2.

6. Simplify each term within the expression:

   • (x^2)^2 = x^4.
   • 2(x^2)(2xy) = 4x^3y.
   • (2xy)^2 = 4x^2y^2.
   • 2(x^2)(y^2) = 2x^2y^2.
   • 2(2xy)(y^2) = 4x^2y^3.
   • (y^2)^2 = y^4.

7. Now, combine all the simplified terms: x^4 + 4x^3y + 4x^2y^2 + 2x^2y^2 + 4x^2y^3 + y^4.

8. Combine like terms: x^4 + 4x^3y + 6x^2y^2 + 4x^2y^3 + y^4.

So, the simplified expression for (x + y) + (x + y)^4 is: x^4 + 4x^3y + 6x^2y^2 + 4x^2y^3 + y^4.