Question

Преобразуйте в многочлен:1.(b+4)(b^2-4b+16)-(b-3)b2.(x+1)^2+2(x-1)(x+1)3.(x+6)(x^2-6x+36)-2(x-3)(x+3)4.-2(x+2)^2-(x+5)(x^2-5x+25)5.(x-4)^2-2(x+1)(x+4)6.(y+2)^2+2y(y+2)7.-(u-3)(u-1)-(u-6)(u+6)8.(d-5)(d-2)-(d-4)(d+4)9.2(x-4)(x-3)-(x+6)^210.2(v-5)v-(v-1)(v^2+v+1)

Answer 1

1.b^3+64-b^2+3b
2.x^2+2x+1+2x^2-2
3.x^3+216-2x^2+18
4.-2x^2-8x-8-x^3-125
5.x^2-8x+16-2x^2-8x-2x-8=-x^2-16x+8
6.y^2+2y+4+2y^2+4y=3y^2+6y+4
7.-u^2+u+3u-3-u^2+36=-2u^2+4u+33
8.d^2-2d-5d+10-d^2+16=-7d+26
9.2x^2-6x-4x+24-x^2-12x-36=x^2-22x-12
10.2v^2-10v-v^3+1

Answer 2

1. (b+4)(b^2-4b+16)-(b-3)b = b(b^2-4b+16) + 4(b^2-4b+16) - b(b-3) = b^3 - 4b^2 + 16b + 4b^2 - 16b + 64 - b^2 + 3b = b^3 - b^2 + 19b + 64

2. (x+1)^2+2(x-1)(x+1) = (x+1)(x+1) + 2(x^2-1) = x^2 + 2x + 1 + 2x^2 - 2 = 3x^2 + 2x - 1

3. (x+6)(x^2-6x+36)-2(x-3)(x+3) = x(x^2-6x+36) + 6(x^2-6x+36) - 2(x^2-9) = x^3 - 6x^2 + 36x + 6x^2 - 36x + 216 - 2x^2 + 18 = x^3 - 2x^2 + 198

4. -2(x+2)^2-(x+5)(x^2-5x+25) = -2(x^2 + 4x + 4) - (x^3 - 5x^2 + 25x + 5x^2 - 25x + 125) = -2x^2 - 8x - 8 - x^3 + 5x^2 - 25x - 5x^2 + 25x - 125 = -x^3 - 2x^2 - 8x - 8 - 125 = -x^3 - 7x^2 - 8x - 133

5. (x-4)^2-2(x+1)(x+4) = (x^2 - 8x + 16) - 2(x^2 + 5x + 4) = x^2 - 8x + 16 - 2x^2 - 10x - 8 = -x^2 - 18x + 8

6. (y+2)^2+2y(y+2) = (y^2 + 4y + 4) + 2y^2 + 4y = 3y^2 + 8y + 4

7. -(u-3)(u-1)-(u-6)(u+6) = -(u^2 - 4u + 3) - (u^2 - 36) = -u^2 + 4u - 3 - u^2 + 36 = -2u^2 + 4u + 33

8. (d-5)(d-2)-(d-4)(d+4) = (d^2 - 7d + 10) - (d^2 + 4d - 16) = d^2 - 7d + 10 - d^2 - 4d + 16 = -11d + 26

9. 2(x-4)(x-3)-(x+6)^2 = 2(x^2 - 7x + 12) - (x^2 + 12x + 36) = 2x^2 - 14x + 24 - x^2 - 12x - 36 = x^2 - 26x - 12

10. 2(v-5)v-(v-1)(v^2+v+1) = 2v^2 - 10v - v^3 + v^2 + v + 1 = -v^3 + 3v^2 - 9v + 1