Упрости выражения 4c(c-2)-(c-4)², 3a(a+2)-(a+3)², 3(y-1)²+6y, 8c + 4(1-c)², 4ab+2 (a - b)², 3(x+y)²-6xy, 3a(a-2)-(a-3)², (a-4)²-2a(3a - 4), (x - y)²-x(x-2y), a(a + 2b)-(a+b)², (a-3)(a-7) - 2a(3a-5), (x-2)(x+4)-2x(1+x), 2c (3c+4)-3c (2c+1), 3a (2a-1)-2a (4+3a), (b+c)(b-c)-b(b-2c), (a-c)(a+c) - с (3a - с), a(a +5b)-(a+b)(a - b), b(3a-b)-(a - b)(a + b), (y +10)(y-2)-4y (2-3y), (a-4)(a+9)-5a (1-2а), (2b-3)(3b+2)-3b(2b+3), (3a-1)(2a-3)-2a(3a + 5), (m+3)²-(m - 2)(m + 2), (a-1)² - (a + 1)(a - 2), (c+2)(c-3)-(c-1)², (y-4)(y+4)-(y-3)², (a-2)(a +4)-(a + 1)², (b-4)(b+2)-(b-1)²

Конечно, давай упростим выражения по порядку! 1. $4c(c-2)-(c-4)^2 = 4c^2 - 8c - (c^2 - 8c + 16) = 4c^2 - 8c - c^2 + 8c - 16 = 3c^2 - 16$ 2. $3a(a+2)-(a+3)^2 = 3a^2 + 6a - (a^2 + 6a + 9) = 3a^2 + 6a - a^2 - 6a - 9 = 2a^2 - 9$ 3. $3(y-1)^2+6y = 3(y^2 - 2y + 1) + 6y = 3y^2 - 6y + 3 + 6y = 3y^2 + 3$ 4. $8c + 4(1-c)^2 = 8c + 4(1 - 2c + c^2) = 8c + 4 - 8c + 4c^2 = 4c^2 + 4$ 5. $4ab+2(a-b)^2 = 4ab + 2(a^2 - 2ab + b^2) = 4ab + 2a^2 - 4ab + 2b^2 = 2a^2 + 2b^2$ 6. $3(x+y)^2-6xy = 3(x^2 + 2xy + y^2) - 6xy = 3x^2 + 6xy + 3y^2 - 6xy = 3x^2 + 3y^2$ 7. $3a(a-2)-(a-3)^2 = 3a^2 - 6a - (a^2 - 6a + 9) = 3a^2 - 6a - a^2 + 6a - 9 = 2a^2 - 9$ 8. $(a-4)^2-2a(3a-4) = a^2 - 8a + 16 - 6a^2 + 8a = -5a^2 + 16$ 9. $(x-y)^2-x(x-2y) = x^2 - 2xy + y^2 - x^2 + 2xy = y^2$ 10. $a(a+2b)-(a+b)^2 = a^2 + 2ab - (a^2 + 2ab + b^2) = a^2 + 2ab - a^2 - 2ab - b^2 = -b^2$ 11. $(a-3)(a-7) - 2a(3a-5) = a^2 - 10a + 21 - 6a^2 + 10a = -5a^2 + 21$ 12. $(x-2)(x+4)-2x(1+x) = x^2 + 2x - 8 - 2x - 2x^2 = -x^2 - 8$ 13. $2c(3c+4)-3c(2c+1) = 6c^2 + 8c - 6c^2 - 3c = 5c$ 14. $3a(2a-1)-2a(4+3a) = 6a^2 - 3a - 8a - 6a^2 = -11a$ 15. $(b+c)(b-c)-b(b-2c) = b^2 - c^2 - b^2 + 2bc = -c^2 + 2bc$ 16. $(a-c)(a+c) - c(3a-c) = a^2 - c^2 - 3ac + c^2 = a^2 - 3ac$ 17. $a(a+5b)-(a+b)(a-b) = a^2 + 5ab - (a^2 - b^2) = a^2 + 5ab - a^2 + b^2 = 5ab + b^2$ 18. $b(3a-b)-(a-b)(a+b) = 3ab - b^2 - (a^2 - b^2) = 3ab - b^2 - a^2 + b^2 = 3ab - a^2$ 19. $(y+10)(y-2)-4y(2-3y) = y^2 + 8y - 20 - 8y + 12y^2 = 13y^2 - 20$ 20. $(a-4)(a+9)-5a(1-2a) = a^2 + 5a - 36 - 5a + 10a^2 = 11a^2 - 36$ 21. $(2b-3)(3b+2)-3b(2b+3) = 6b^2 - 5b - 6 - 6b^2 - 9b = -14b - 6$ 22. $(3a-1)(2a-3)-2a(3a+5) = 6a^2 - 11a + 3 - 6a^2 - 10a = -21a + 3$ 23. $(m+3)^2-(m-2)(m+2) = m^2 + 6m + 9 - (m^2 - 4) = m^2 + 6m + 9 - m^2 + 4 = 6m + 13$ 24. $(a-1)^2 - (a+1)(a-2) = a^2 - 2a + 1 - (a^2 - a - 2) = a^2 - 2a + 1 - a^2 + a + 2 = -a + 3$ 25. $(c+2)(c-3)-(c-1)^2 = c^2 - c - 6 - (c^2 - 2c + 1) = c^2 - c - 6 - c^2 + 2c - 1 = c - 7$ 26. $(y-4)(y+4)-(y-3)^2 = y^2 - 16 - (y^2 - 6y + 9) = y^2 - 16 - y^2 + 6y - 9 = 6y - 25$ 27. $(a-2)(a+4)-(a+1)^2 = a^2 + 2a - 8 - (a^2 + 2a + 1) = a^2 + 2a - 8 - a^2 - 2a - 1 = -9$ 28. $(b-4)(b+2)-(b-1)^2 = b^2 - 2b - 8 - (b^2 - 2b + 1) = b^2 - 2b - 8 - b^2 + 2b - 1 = -9