Question

А²-в²\5а²*а\3а+3в Плиз, решите

Answer 1

     (а-в)(а+в)            а                                                           (а-в)
=  _________ ×   _______ =  (сократим на (а+в) и а)  = _______
         5а²                3(а+в)                                                       15а

Answer 2

Solution:

To solve the given expression A² - B² / 5A² * A / 3A + 3B, we'll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, let's simplify the expression step by step:

1. Exponents: - A² - B² can be simplified as (A + B)(A - B).

2. Division and Multiplication: - Next, we'll perform the division and multiplication operations.

3. Addition: - Finally, we'll perform the addition operation.

Let's proceed with the step-by-step simplification.

1. Exponents: - A² - B² can be simplified as (A + B)(A - B).

2. Division and Multiplication: - The expression becomes: (A + B)(A - B) / 5A² * A / 3A + 3B

3. Addition: - We'll perform the addition operation last.

Now, let's simplify the expression further.

The expression can be simplified as: (A + B)(A - B) / 5A³ / 3A + 3B

We'll continue simplifying the expression.

(A + B)(A - B) / 5A³ / 3A + 3B = (A + B)(A - B) / (5A³ / 3A) + 3B

Now, let's simplify the division operation.

(A + B)(A - B) / (5A³ / 3A) + 3B = (A + B)(A - B) / (5/3)A² + 3B

Finally, let's simplify the expression further.

(A + B)(A - B) / (5/3)A² + 3B = 3(A + B)(A - B) / 5A² + 3B

So, the simplified form of the given expression A² - B² / 5A² * A / 3A + 3B is 3(A + B)(A - B) / 5A² + 3B.