Question

(5²+2у²)²-(5х²+2у²)(5х²-2у²)​

Answer 1

Ответ:

${5}^{4} + 50 {y}^{2} + {y}^{4} + 625 - {y}^{4} = 1250 + 50 {y}^{2}$

Answer 2

The expression you've provided seems to involve some mathematical operations. Let's break it down step by step:

Given expression: (5² + 2у²)² - (5х² + 2у²)(5х² - 2у²)

Step 1: Simplify the terms within the parentheses and perform the operations:

• (5² + 2у²)² = (25 + 2у²)² = 25² + 2 * 25 * 2у² + (2у²)² = 625 + 100у² + 4у⁴

• (5х² + 2у²)(5х² - 2у²) = (25х⁴ - 4у⁴)

Step 2: Substitute the simplified expressions back into the original expression:

(625 + 100у² + 4у⁴) - (25х⁴ - 4у⁴)

Step 3: Distribute the negative sign to both terms within the parentheses:

625 + 100у² + 4у⁴ - 25х⁴ + 4у⁴

Step 4: Combine like terms:

625 - 25х⁴ + 100у² + 4у⁴ + 4у⁴

Step 5: Combine the constant terms and the like terms involving y:

625 - 25х⁴ + 108у² + 8у⁴

So, the simplified expression is: 625 - 25х⁴ + 108у² + 8у⁴