1. Найдите значение выражения (4-y)^2 - y(y+1) при y = -1/9.

1. $(4-y)^2 - y(y+1) = 16 - 8y + y^2 - y^2 - y = 16 - 9y$. При $y = -1/9$: $16 - 9(-1/9) = 16 + 1 = 17$. 2. $(2-c)^2 - c(c+4) = 4 - 4c + c^2 - c^2 - 4c = 4 - 8c$. При $c = 0.5$: $4 - 8(0.5) = 4 - 4 = 0$. 3. $(8b-8)(8b+8) - 8b(b+8) = 64b^2 - 64 - 8b^2 - 64b = 56b^2 - 64b - 64$. При $b = 2.6$: $56(6.76) - 64(2.6) - 64 = 378.56 - 166.4 - 64 = 148.16$. 4. $x^3+x-(x-2)(x^2+2x+4) = x^3+x-(x^3-8) = x^3+x-x^3+8 = x+8$. При $x = 0.0015$: $0.0015+8 = 8.0015$. 5. $(a-3)^2 - 6(2-a) = a^2 - 6a + 9 - 12 + 6a = a^2 - 3$. При $a = 0.5$: $0.5^2 - 3 = 0.25 - 3 = -2.75$. 6. $-p(4+p) + (p-2)(p+2) = -4p - p^2 + p^2 - 4 = -4p - 4$. При $p = 3/4$: $-4(3/4) - 4 = -3 - 4 = -7$. 7. $x(x-16) - (x-8)(x-8) = x^2 - 16x - (x^2 - 16x + 64) = x^2 - 16x - x^2 + 16x - 64 = -64$. 8. $(k+8)^2 - 7(k+9) = k^2 + 16k + 64 - 7k - 63 = k^2 + 9k + 1$. При $k = 0.8$: $0.64 + 7.2 + 1 = 8.84$. 9. $-m(m+2) + (m+3)(m-3) = -m^2 - 2m + m^2 - 9 = -2m - 9$. При $m = 1/2$: $-2(0.5) - 9 = -1 - 9 = -10$. 10. $a(9+a) - (a+6)^2 = 9a + a^2 - (a^2 + 12a + 36) = 9a + a^2 - a^2 - 12a - 36 = -3a - 36$. При $a = -1/3$: $-3(-1/3) - 36 = 1 - 36 = -35$. 11. $y^2 - 4y + 4 - (y-3)^2 = (y-2)^2 - (y-3)^2 = y^2 - 4y + 4 - (y^2 - 6y + 9) = 2y - 5$. При $y = 13/2 = 6.5$: $2(6.5) - 5 = 13 - 5 = 8$. 12. $(4-c)(c-4) + c^2 - 4 = -(c-4)^2 + c^2 - 4 = -(c^2 - 8c + 16) + c^2 - 4 = -c^2 + 8c - 16 + c^2 - 4 = 8c - 20$. При $c = -0.5$: $8(-0.5) - 20 = -4 - 20 = -24$. 13. $(m+1)^2 + (6-m)(6+m) = m^2 + 2m + 1 + 36 - m^2 = 2m + 37$. При $m = 1/2$: $2(0.5) + 37 = 38$. 14. $a^2 + 10a + 25 + (5-a)(a+5) = (a+5)^2 + (25-a^2) = a^2 + 10a + 25 + 25 - a^2 = 10a + 50$. При $a = -2.8$: $10(-2.8) + 50 = -28 + 50 = 22$. 15. $x(x+6) - (x+3)(x-3) = x^2 + 6x - (x^2 - 9) = 6x + 9$. При $x = -19/3$: $6(-19/3) + 9 = 2(-19) + 9 = -38 + 9 = -29$. 16. $(y-4)^2 - (6+y)(y-6) = y^2 - 8y + 16 - (y^2 - 36) = -8y + 16 + 36 = -8y + 52$. При $y = -7/8$: $-8(-7/8) + 52 = 7 + 52 = 59$. 17. $x(x+14) - (7+x)(x-7) = x^2 + 14x - (x^2 - 49) = 14x + 49$. При $x = -3/7$: $14(-3/7) + 49 = 2(-3) + 49 = -6 + 49 = 43$. 18. $9(2d+1) - (d+9)(9+d) = 18d + 9 - (d^2 + 18d + 81) = -d^2 - 72$. При $d = 10$: $-100 - 72 = -172$. 19. $x(x+10) - (x+5)(x-5) = x^2 + 10x - (x^2 - 25) = 10x + 25$. При $x = -13/5 = -2.6$: $10(-2.6) + 25 = -26 + 25 = -1$. 20. $(5-c)(c-5) + c^2 + 5 = -(c-5)^2 + c^2 + 5 = -(c^2 - 10c + 25) + c^2 + 5 = 10c - 20$. При $c = 0.3$: $10(0.3) - 20 = 3 - 20 = -17$. 21. $z(z-6) - (z-7)^2 = z^2 - 6z - (z^2 - 14z + 49) = 8z - 49$. При $z = -7/8$: $8(-7/8) - 49 = -7 - 49 = -56$. 22. $m(m-4) - (m-5)^2 = m^2 - 4m - (m^2 - 10m + 25) = 6m - 25$. При $m = 5/6$: $6(5/6) - 25 = 5 - 25 = -20$. 23. $a^2 + 6a + 9 + (a+3)(3-a) = (a+3)^2 + (9-a^2) = a^2 + 6a + 9 + 9 - a^2 = 6a + 18$. При $a = -0.5$: $6(-0.5) + 18 = -3 + 18 = 15$. 24. $(h-5)^2 + (3-h)(h+3) = h^2 - 10h + 25 + (9-h^2) = -10h + 34$. При $h = 3/10 = 0.3$: $-10(0.3) + 34 = -3 + 34 = 31$.