Question

2(5-y²)(y²+5)+(y²-3)²

Answer 1

Ответ:

59-у⁴-6у².

Объяснение:

Упростим выражение и приведём подобные.

2(5-y²)(y²+5)+(y²-3)²=2(5-у²)(5+у²)+у⁴-6у²+9=2(25-у⁴)+у⁴-6у²+9=50-2у⁴+у⁴-6у²+9=59-у⁴-6у².

Использовали формулы:

(а-b)²=a²-2ab+b²; (a-b)(a+b)=a²-b²

Answer 2

To simplify the expression 2(5-y²)(y²+5) + (y²-3)², follow these steps:

1. Expand the first term: 2(5-y²)(y²+5) = 2(5y² - y⁴ + 5y²)

2. Simplify the first term further: 2(5y² - y⁴ + 5y²) = 2(10y² - y⁴)

3. Distribute the 2 to both terms inside the parentheses: 2(10y² - y⁴) = 20y² - 2y⁴

4. Now, expand the second term, (y²-3)²: (y²-3)² = y⁴ - 6y² + 9

5. Add the two simplified terms together: 20y² - 2y⁴ + (y⁴ - 6y² + 9)

6. Combine like terms: (20y² - 6y²) + (-2y⁴ + y⁴) + 9

7. Simplify the terms with the same exponent: 14y² - y⁴ + 9

So, the simplified expression is: 14y² - y⁴ + 9