Question

(3x²+4)²+(3x²-4)²+2(5-3x²)(5+3x²)помогите пожалуйста!!​

Answer 1

Объяснение:

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Answer 2

Mathematical Expression

The given expression is: (3x²+4)² + (3x²-4)² + 2(5-3x²)(5+3x²).

Solution

To solve this expression, we can start by expanding each term and then simplifying the expression.

Expanding the first two terms using the formula (a+b)² = a² + 2ab + b²: (3x²+4)² = (3x²)² + 2*(3x²)*4 + 4² (3x²-4)² = (3x²)² - 2*(3x²)*4 + 4²

Expanding the third term: 2(5-3x²)(5+3x²) = 2(25 - 9x^4)

Now, we can simplify the expression by adding the expanded terms together: (3x²)² + 2*(3x²)*4 + 4² + (3x²)² - 2*(3x²)*4 + 4² + 2(25 - 9x^4)

Simplify the terms: 9x^4 + 24x² + 16 + 9x^4 - 24x² + 16 + 50 - 18x^2

Combine like terms: 18x^4 + 32 + 50 - 18x^2

Simplify further: 18x^4 + 82 - 18x^2

So, the simplified expression is: 18x^4 - 18x^2 + 82.

Final Answer

The simplified form of the given expression (3x²+4)² + (3x²-4)² + 2(5-3x²)(5+3x²) is 18x^4 - 18x^2 + 82.