Question

(1\2m²-1/5n²)×(1/2m²+1/5n²)-(1/2m²-1/5n²)²​

Answer 1

Объяснение:

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Answer 2

Ответ:

Вот все решение, можешь не обращать внимание на текст

Answer 3

To simplify the given expression:

(1/2m² - 1/5n²) × (1/2m² + 1/5n²) - (1/2m² - 1/5n²)²

Let's break it down step by step.

First, let's work on the multiplication:

(1/2m² - 1/5n²) × (1/2m² + 1/5n²)

To multiply these two expressions, you can use the difference of squares formula (a² - b² = (a + b)(a - b)):

(1/2m²)² - (1/5n²)²

Now, let's square each term:

(1/4m⁴) - (1/25n⁴)

Now, let's move on to the second part of the expression:

(1/2m² - 1/5n²)²

To square this expression, you can use the formula (a - b)² = a² - 2ab + b²:

(1/2m²)² - 2(1/2m²)(1/5n²) + (1/5n²)²

Now, square each term:

(1/4m⁴) - (1/5mn²) + (1/25n⁴)

Now, subtract the second part from the first part:

(1/4m⁴) - (1/25n⁴) - (1/4m⁴) + (1/5mn²) - (1/25n⁴)

Now, simplify the expression by combining like terms:

(1/5mn²)

So, the simplified expression is:

(1/5mn²)