Simplify the following algebraic expressions: -4y^2(5y - 1) +3y (2y^2 -y) - 5α^2 (2α +7) - 3α^2(4α - 5) - 4b(6a - b) + 3a (3a + 7b) 7y(4x - 3y) - 5y(2x+6y) 4n^2 (5n - 3m) + 3n^2 (n - 9m) -5x^3 (x - 4) +6x (x^3 - 2) 6x (2x^2 - 7x) + 3x (x^2 - 2) 3α^2 (4α - 5b) - 2α^2 (3α - 2b) - 2α (3 α^2 - 6) + 5α (4α^2 +8) 7x^3(5x - x^2) - 5x^2(7x^2 + x^3)

Упрощение алгебраических выражений:

1. \( -4y^2(5y - 1) + 3y(2y^2 - y) = -20y^3 + 4y^2 + 6y^3 - 3y^2 = -14y^3 + y^2 \)
2. \( -5\alpha^2(2\alpha + 7) - 3\alpha^2(4\alpha - 5) = -10\alpha^3 - 35\alpha^2 - 12\alpha^3 + 15\alpha^2 = -22\alpha^3 - 20\alpha^2 \)
3. \( -4b(6a - b) + 3a(3a + 7b) = -24ab + 4b^2 + 9a^2 + 21ab = 9a^2 + 4b^2 - 3ab \)
4. \( 7y(4x - 3y) - 5y(2x + 6y) = 28xy - 21y^2 - 10xy - 30y^2 = 18xy - 51y^2 \)
5. \( 4n^2(5n - 3m) + 3n^2(n - 9m) = 20n^3 - 12n^2m + 3n^3 - 27n^2m = 23n^3 - 39n^2m \)
6. \( -5x^3(x - 4) + 6x(x^3 - 2) = -5x^4 + 20x^3 + 6x^4 - 12x = x^4 + 20x^3 - 12x \)
7. \( 6x(2x^2 - 7x) + 3x(x^2 - 2) = 12x^3 - 42x^2 + 3x^3 - 6x = 15x^3 - 42x^2 - 6x \)
8. \( 3\alpha^2(4\alpha - 5b) - 2\alpha^2(3\alpha - 2b) = 12\alpha^3 - 15\alpha^2b - 6\alpha^3 + 4\alpha^2b = 6\alpha^3 - 11\alpha^2b \)
9. \( -2\alpha(3\alpha^2 - 6) + 5\alpha(4\alpha^2 + 8) = -6\alpha^3 + 12\alpha + 20\alpha^3 + 40\alpha = 14\alpha^3 + 52\alpha \)
10. \( 7x^3(5x - x^2) - 5x^2(7x^2 + x^3) = 35x^4 - 7x^5 - 35x^4 - 5x^5 = -12x^5 \)