Question

(3c-2)(3c+2)(9c²+4)-(9c²-4)²Пж​

Answer 1

Ответ:

Решение представлено на фотографии

Answer 2

To simplify the expression (3c-2)(3c+2)(9c²+4)-(9c²-4)², you can follow these steps:

1. Recognize that this expression can be simplified using the difference of squares and the difference of cubes formulas. First, expand the difference of squares in the second term, (9c²-4)², and recognize it as (a² - b²)² = (a - b)(a + b)(a - b)(a + b).

2. Expand the terms one by one: (3c-2)(3c+2) = 9c² - 4 (9c²-4)² = (9c² - 4)(9c² - 4) = (9c² - 4)(9c² - 4)

3. Now, you have: (3c-2)(3c+2)(9c²+4) - (9c²-4)² = (9c² - 4)(9c² + 4) - (9c² - 4)(9c² - 4)

4. Notice that both terms have a common factor of (9c² - 4), so you can factor that out: (9c² - 4)[(9c² + 4) - (9c² - 4)]

5. Simplify the expression inside the brackets: (9c² - 4)[9c² + 4 - 9c² + 4]

6. Continue simplifying inside the brackets: (9c² - 4)[8]

7. Finally, distribute the 8 back into the bracket: 8(9c² - 4)

So, the simplified expression is 8(9c² - 4).