Question

(4a+5b)(4b-2a)+(2b-3a)(3a+2b)

Answer 1

Ответ:

16ab-8a(в квадрате)+20b (в квадрате)-10ab+6ab+4b(в квадрате)-9а (в квадрате)-6аb=6ab-17a(в квадрате)+24b(в квадрате)

Answer 2

Ответ:

... = (16ab - 8a² + 20b² - 10ab) - (3a-2b)(3a+2b) = (6ab - 8a² + 20b²)(9a² - 4b²)

Answer 3

To simplify the given expression, let's expand each term and then combine like terms:

(4a + 5b)(4b - 2a) + (2b - 3a)(3a + 2b)

Expanding the first term:

= 4a * 4b + 4a * (-2a) + 5b * 4b + 5b * (-2a)

= 16ab - 8a^2 + 20b^2 - 10ab

Expanding the second term:

= 2b * 3a + 2b * 2b - 3a * 3a - 3a * 2b

= 6ab + 4b^2 - 9a^2 - 6ab

Now, let's combine the like terms:

(16ab - 8a^2 + 20b^2 - 10ab) + (6ab + 4b^2 - 9a^2 - 6ab)

Combining the "ab" terms: 16ab - 10ab + 6ab - 6ab = 6ab

Combining the "a^2" terms: -8a^2 - 9a^2 = -17a^2

Combining the "b^2" terms: 20b^2 + 4b^2 = 24b^2

Therefore, the simplified expression is: 6ab - 17a^2 + 24b^2