Question

(1/3a^2b-2/5ab^2)*(15a-30b)

Answer 1

Ответ:

=5a^3b-6a^2b^2-10a^2b^2+12ab^3=5a^3b-16a^2b^2+12ab^3

Объяснение:

Answer 2

To simplify the given expression $\left(\frac{1}{3a^2b} - \frac{2}{5ab^2}\right) \cdot (15a - 30b)$, follow these steps:

Step 1: Distribute the terms within the parentheses:

$$\left(\frac{1}{3a^2b} \cdot 15a - \frac{1}{3a^2b} \cdot 30b\right) - \left(\frac{2}{5ab^2} \cdot 15a - \frac{2}{5ab^2} \cdot 30b\right)$$

Step 2: Perform the multiplications:

$$\frac{15}{3b} - \frac{30}{3ab} - \frac{30}{5b^2} + \frac{60}{5ab^2}$$

Step 3: Simplify the fractions:

$$5 - \frac{10}{a} - 6b + \frac{12}{a}$$

Step 4: Combine like terms:

$$(5 + \frac{12}{a}) - (6b + \frac{10}{a})$$

Step 5: Combine further:

$$\frac{5a + 12}{a} - \frac{6b + 10}{a}$$

Step 6: Find a common denominator for the fractions and combine them:

$$\frac{(5a + 12) - (6b + 10)}{a}$$

Step 7: Distribute the negative sign and simplify:

$$\frac{5a + 12 - 6b - 10}{a}$$

Step 8: Combine constants:

$$\frac{5a - 6b + 2}{a}$$

So, the simplified expression is $\frac{5a - 6b + 2}{a}$.