Question

1)(x²+b)(x²+2b)= 2)(2m+n²)(2n-m²)= 3)(x+1)(x²-x+1)= 4(a²-b)(a⁴+a²b+b²)= 5)(x²+2y)(x²+2y)-(x²-2y)(x²+2y)= 6)(a+b+c)(a+b+c)= 7)(a+b-c)(a+b-c)= Даю 50баллов

Answer 1

Ответ: приложено

Объяснение:

Answer 2

1.

$x {}^{4} + 2x {}^{2} b + bx {}^{2} + 2b {}^{2}$

2.

$4mn - 2m {}^{3} + 2n {}^{3} - n {}^{2} m {}^{2}$

3.

$x {}^{3} - x {}^{2} + x + x {}^{2} - x {}^{2} + x$

Answer 3

1. (x² + b)(x² + 2b) = x⁴ + 2bx² + bx² + 2b² = x⁴ + (3b)x² + 2b²

2. (2m + n²)(2n - m²) = 4mn - 2m³ + 2n³ - n⁴

3. (x + 1)(x² - x + 1) = x³ - x² + x² - x + x - 1 = x³ - 1

4. (a² - b)(a⁴ + a²b + b²) = a⁶ - a⁴b + a⁴b + a²b² - ab² + b³ = a⁶ + a²b² - ab² + b³

5. (x² + 2y)(x² + 2y) - (x² - 2y)(x² + 2y) = x⁴ + 4xy + 4y² - (x⁴ - 4xy + 4y²) = 8xy

6. (a + b + c)(a + b + c) = a² + ab + ac + ab + b² + bc + ac + bc + c² = a² + b² + c² + 2ab + 2ac + 2bc

7. (a + b - c)(a + b - c) = a² + ab - ac + ab + b² - bc - ac - bc + c² = a² + b² + c² + 2ab - 2ac - 2bc

Please note that these are the expanded forms of the given expressions. If you have any specific questions or need further clarification, feel free to ask.