Question

(x+y)², (b-c)², (m-n)(m+n), (5+x)², (3x-4y)², (7m+4n)(7m-4n), (3x²-4y²)², (4x⁴-3y³)²-(4x⁴+3y³)²​

Answer 1

Ответ:

И что это такое? Где написано что с ними делать?

Answer 2

Let's expand each of the given expressions:

1. (x+y)²: (x+y)² = (x+y)(x+y) = x(x+y) + y(x+y) = x² + xy + xy + y² = x² + 2xy + y²

2. (b-c)²: (b-c)² = (b-c)(b-c) = b(b-c) - c(b-c) = b² - bc - bc + c² = b² - 2bc + c²

3. (m-n)(m+n): (m-n)(m+n) = m(m+n) - n(m+n) = m² + mn - mn - n² = m² - n²

4. (5+x)²: (5+x)² = (5+x)(5+x) = 5(5+x) + x(5+x) = 25 + 5x + 5x + x² = x² + 10x + 25

5. (3x-4y)²: (3x-4y)² = (3x-4y)(3x-4y) = 9x² - 12xy - 12xy + 16y² = 9x² - 24xy + 16y²

6. (7m+4n)(7m-4n): (7m+4n)(7m-4n) = (7m)² - (4n)² = 49m² - 16n²

7. (3x²-4y²)²: (3x²-4y²)² = (3x²-4y²)(3x²-4y²) = 9x⁴ - 12x²y² - 12x²y² + 16y⁴ = 9x⁴ - 24x²y² + 16y⁴

8. (4x⁴-3y³)² - (4x⁴+3y³)²: (4x⁴-3y³)² - (4x⁴+3y³)² = (4x⁴-3y³)² - (4x⁴+3y³)(4x⁴+3y³) = (4x⁴-3y³)² - (4x⁴)² - (3y³)² - 2(4x⁴)(3y³) = 16x⁸ - 24x⁴y³ + 9y⁶ - 16x⁸ - 9y⁶ - 24x⁴y³ = -48x⁴y³

I have expanded each of the given expressions. Let me know if you have any further questions!