Выполните умножение (5m+7n) (2n+4m) (12a+b) (3a+5b) (2x-3y) (2x+3y) (5m-2n) (3n-5m) (-a-b) (2a-3b) (-7x-4y) (-5x+7y) (a^2+b^2) (a^2+b^2) (mn^3-m^2) (m-1) (2x^2-y^2) (y^2+2x^3) (xy^2+3a^2) (3xy+a^3)

Раскроем скобки:

1) (5 * m + 7 * n) * (2 * n + 4 * m) = 10 * m * n + 20 * m² + 14 * n² + 28 * m * n = 20 * m² + 38 * m * n + 14 * n²;

2) (12 * a + b) * (3 * a + 5 * b) = 36 * a² + 60 * a * b + 3 * a * b + 5 * b² = 36 * a² + 63 * a * b + 5 * b²;

3) (2 * x - 3 * y) * (2 * x + 3 * y) = (2 * x) ² - (3 * y) ² = 4 * x² - 9 * y²;

4) (5 * m - 2 * n) * (3 * n - 5 * m) = 15 * m * n - 25 * m² - 6 * n² + 10 * m * n = 25 * m * n - 25 * m² - 6 * n²;

5) (-a - b) * (2 * a - 3 * b) = (a + b) * (3 * b - 2 * a) = 3 * a * b - 2 * a² + 3 * b² - 2 * a * b = a * b - 2 * a² + 3 * b²;

6) (-7 * x - 4 * y) * (-5 * x + 7 * y) = (7 * x + 4 * y) * (5 * x - 7 * y) = 35 * x² - 49 * x * y + 20 * x * y - 28 * y² = 35 * x² - 29 * x * y - 28 * y²;

7) (a^2 + b^2) * (a^2 + b^2) = (a^2 + b^2) ^2 = a^4 + 2 * a^2 * b^2 + b^4;

8) (m * n^3 - m^2) * (m - 1) = m^2 * n^3 - m * n^3 - m^3 + m^2;

9) (2 * x^2 - y^2) * (y^2 + 2 * x^3) = 2 * x^2 * y^2 + 4 * x^5 - y^4 - 2 * x^3 * y^2;

10) (x * y^2 + 3 * a^2) * (3 * x * y + a^3) = 3 * x^2 * y^3 + a * y^2 * a^3 + 9 * x * y * a^2 + 3 * a^5.