Question

№1. Выполнить действия: (5+х)² (1 – 3х)² (3а – 5в)² (х²+4)² (-2а+3в)² ПОМОГИТЕ СРОЧНО

Answer 1

(5+х)²= 10+2×5×x+x²=10+10x+x²

(1 – 3х)²= 1²-2×1×3x+9x²=1-6x+9x²

(3а – 5b)²=9a²-2×3a×5b+25b²=9a²-30ab+25b²

(х²+4)²= x²+2×x×4+16=x²+8x+16

(-2а+3b)²=4a²+2×(-2a)×3b+9b²=4a²-12ab+9b²

тут всё расписано

Answer 2

Mathematical Expression

The given expression is: (5x)² + (1 – 3x)² + (3a – 5b)² + (x² + 4)² + (-2a + 3b)²

Solution

To solve the given expression, we can expand each term and then simplify the expression.

1. Expand and simplify each term: - (5x)² = 25x² - (1 – 3x)² = 1 - 6x + 9x² - (3a – 5b)² = 9a² - 30ab + 25b² - (x² + 4)² = x⁴ + 8x² + 16 - (-2a + 3b)² = 4a² - 12ab + 9b²

2. Combine all the terms: - 25x² + 1 - 6x + 9x² + 9a² - 30ab + 25b² + x⁴ + 8x² + 16 + 4a² - 12ab + 9b²

3. Simplify the expression: - x⁴ + 34x² - 6x + 10a² - 42ab + 34b² + 1 + 16

4. Final simplified expression: - x⁴ + 34x² - 6x + 10a² - 42ab + 34b² + 17

Therefore, the simplified expression is x⁴ + 34x² - 6x + 10a² - 42ab + 34b² + 17.