Question

(2x-5y)² + 4x(5y - x)​

Answer 1

25y²

Объяснение:

4x²-20xy+25y²+20xy-4x²

приводим подобные, получаем ответ

25y²

Answer 2

To simplify the expression (2x - 5y)² + 4x(5y - x), you can follow these steps:

Step 1: Expand the square of (2x - 5y):

(2x - 5y)² = (2x - 5y)(2x - 5y)

To expand this, you can use the FOIL method (First, Outer, Inner, Last):

= (2x * 2x) - (2x * 5y) - (5y * 2x) + (5y * 5y) = 4x² - 10xy - 10xy + 25y² = 4x² - 20xy + 25y²

Step 2: Distribute 4x into (5y - x):

4x(5y - x) = 4x * 5y - 4x * x = 20xy - 4x²

Now, we can combine the results from Step 1 and Step 2:

(2x - 5y)² + 4x(5y - x) = (4x² - 20xy + 25y²) + (20xy - 4x²)

Notice that the terms "-20xy" and "+20xy" cancel each other out when you add them together:

= 4x² - 20xy + 25y² + 20xy - 4x²

Now, you can see that the terms with "-20xy" and "+20xy" have canceled each other out, leaving you with:

= 4x² - 4x² + 25y²

The terms "4x²" and "-4x²" also cancel each other out:

= 0 + 25y²

So, the simplified expression is:

25y²