$$ \begin{array}{ll} ext { 816. Преобразуйте выражение в многочлен: }(10-c)^{2} ; & ext { к) }(0,3-m)^{2} ext {. } \ \begin{array}{ll} ext { д) }(y-9)^{2} ; & ext { д) }(a-25)^{2} ext {; } \ ext { б) }(c-d)^{2} ; & ext { е) }(40+b)^{2} ; \ ext { в) }(x+9)^{2} ; & ext { ж) }(0,2-x)^{2} ; \ ext { г) }(8-a)^{2} ; & ext { з) }(k-0,5)^{2} .\end{array}\end{array} $$

Question

$$ \begin{array}{ll}	ext { 816. Преобразуйте выражение в многочлен: }(10-c)^{2} ; & 	ext { к) }(0,3-m)^{2} 	ext {. } \ \begin{array}{ll}	ext { д) }(y-9)^{2} ; & 	ext { д) }(a-25)^{2} 	ext {; } \ 	ext { б) }(c-d)^{2} ; & 	ext { е) }(40+b)^{2} ; \ 	ext { в) }(x+9)^{2} ; & 	ext { ж) }(0,2-x)^{2} ; \ 	ext { г) }(8-a)^{2} ; & 	ext { з) }(k-0,5)^{2} .\end{array}\end{array} $$

UpStudy AI · Accepted Answer

Simplify the expression by following steps:
- step0: Calculate:
  $$\left(c-d\right)^{2}$$
- step1: Calculate:
  $$c^{2}-2cd+d^{2}$$
Expand the expression $$ (k-0.5)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(k-0.5\right)^{2}$$
- step1: Convert the expressions:
  $$\left(k-\frac{1}{2}\right)^{2}$$
- step2: Calculate:
  $$k^{2}-k+\frac{1}{4}$$
Expand the expression $$ (x+9)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(x+9\right)^{2}$$
- step1: Calculate:
  $$x^{2}+18x+81$$
Expand the expression $$ (40+b)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(40+b\right)^{2}$$
- step1: Calculate:
  $$1600+80b+b^{2}$$
Expand the expression $$ (0.2-x)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(0.2-x\right)^{2}$$
- step1: Convert the expressions:
  $$\left(\frac{1}{5}-x\right)^{2}$$
- step2: Calculate:
  $$\frac{1}{25}-\frac{2}{5}x+x^{2}$$
Expand the expression $$ (0.3-m)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(0.3-m\right)^{2}$$
- step1: Convert the expressions:
  $$\left(\frac{3}{10}-m\right)^{2}$$
- step2: Calculate:
  $$\frac{9}{100}-\frac{3}{5}m+m^{2}$$
Expand the expression $$ (10-c)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(10-c\right)^{2}$$
- step1: Calculate:
  $$100-20c+c^{2}$$
Expand the expression $$ (y-9)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(y-9\right)^{2}$$
- step1: Calculate:
  $$y^{2}-18y+81$$
Expand the expression $$ (a-25)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(a-25\right)^{2}$$
- step1: Calculate:
  $$a^{2}-50a+625$$
Expand the expression $$ (8-a)^{2} $$
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(8-a\right)^{2}$$
- step1: Calculate:
  $$64-16a+a^{2}$$
Вот преобразованные выражения в многочлены:

1. $$ (10-c)^{2} = 100 - 20c + c^{2} $$
2. $$ (0.3-m)^{2} = \frac{9}{100} - \frac{3}{5}m + m^{2} $$
3. $$ (y-9)^{2} = y^{2} - 18y + 81 $$
4. $$ (a-25)^{2} = a^{2} - 50a + 625 $$
5. $$ (c-d)^{2} = c^{2} - 2cd + d^{2} $$
6. $$ (40+b)^{2} = 1600 + 80b + b^{2} $$
7. $$ (x+9)^{2} = x^{2} + 18x + 81 $$
8. $$ (0.2-x)^{2} = \frac{1}{25} - \frac{2}{5}x + x^{2} $$
9. $$ (8-a)^{2} = 64 - 16a + a^{2} $$
10. $$ (k-0.5)^{2} = k^{2} - k + \frac{1}{4} $$

Если у вас есть дополнительные вопросы или нужно что-то еще, дайте знать!
Вот раскрытые выражения: 1. $$ (10 - c)^2 = 100 - 20c + c^2 $$ 2. $$ (0.3 - m)^2 = 0.09 - 0.6m + m^2 $$ 3. $$ (y - 9)^2 = y^2 - 18y + 81 $$ 4. $$ (a - 25)^2 = a^2 - 50a + 625 $$ 5. $$ (c - d)^2 = c^2 - 2cd + d^2 $$ 6. $$ (40 + b)^2 = 1600 + 80b + b^2 $$ 7. $$ (x + 9)^2 = x^2 + 18x + 81 $$ 8. $$ (0.2 - x)^2 = 0.04 - 0.4x + x^2 $$ 9. $$ (8 - a)^2 = 64 - 16a + a^2 $$ 10. $$ (k - 0.5)^2 = k^2 - k + 0.25 $$

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