Answer
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. \( (k - 0.5)^2 = k^2 - k + 0.25 \)
Solution
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. \( (k-0.5)^{2} = k^{2} - k + \frac{1}{4} \)
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