Question

В) (1\6 a + 1\10 b) (0,03a- 0,15b) Решение + ответ

Answer 1

Ответ:

Ответ - это шаг 6

Пошаговое объяснение:

1) Перемножить выражение в скобках:

$\frac{1}{6} a \times 0.03a - \frac{1}{6} a \times 0.15b + \frac{1}{10} b \times 0.03a - \frac{1}{10} b \times 0.15b$

2) Преобразовать десятичные дроби в обыкновенные:

$\frac{1}{6} a \times \frac{3}{100} a - \frac{1}{6} a \times \frac{3}{20} b + \frac{1}{10}b \times \frac{3}{100} a - \frac{1}{10} b \times \frac{3}{20} b$

3) Сократить дробь. Вычислить:

$\frac{1}{2} a \times \frac{1}{100} a - \frac{1}{2} a \times \frac{1}{20} b + \frac{3}{1000} ab - \frac{3}{200} {b}^{2}$

4) Вычислить произведения:

$\frac{1}{200} {a}^{2} - \frac{1}{40} ab + \frac{3}{1000} ab - \frac{3}{200} {b}^{2}$

5) Вычислить:

$\frac{1}{200} {a}^{2} - \frac{11}{500} ab - \frac{3}{200} {b}^{2}$

6) Преобразовать обыкновенные дроби в десятичные:

$0.005 {a}^{2} - 0.022ab - 0.015 {b}^{2}$

Answer 2

To find the solution and answer, you need to multiply the two expressions given:

(1/6 a + 1/10 b) * (0.03a - 0.15b)

To do this, we'll use the distributive property of multiplication over addition. This means we'll multiply each term in the first expression by each term in the second expression and then combine like terms.

Step 1: Multiply the first term (1/6 a) by each term in the second expression: (1/6 a) * (0.03a) = (1/6) * (0.03) * a^2 = 0.005a^2

Next, multiply the first term (1/6 a) by the second term (-0.15b): (1/6 a) * (-0.15b) = -(1/6) * (0.15) * ab = -0.025ab

Step 2: Multiply the second term (1/10 b) by each term in the second expression: (1/10 b) * (0.03a) = (1/10) * (0.03) * ab = 0.003ab

Next, multiply the second term (1/10 b) by the second term (-0.15b): (1/10 b) * (-0.15b) = -(1/10) * (0.15) * b^2 = -0.015b^2

Step 3: Combine all the results from Step 1 and Step 2: 0.005a^2 - 0.025ab + 0.003ab - 0.015b^2

Step 4: Simplify the expression by combining like terms: 0.005a^2 - 0.022ab - 0.015b^2

So, the final result of the expression is: 0.005a^2 - 0.022ab - 0.015b^2

Note: Since no specific values were given for 'a' and 'b', the answer is a simplified expression in terms of 'a' and 'b'. If you have specific numerical values for 'a' and 'b', you can substitute them into the expression to get a numerical answer.