Question

(5а-4b)(5a+4b)-(3a+2b)(3a-2b) ​

Answer 1

Ответ:

Объяснение:

16a²-12b²

Answer 2

To simplify the given expression, let's start by expanding each term:

1. (5a - 4b)(5a + 4b) = (5a)(5a) + (5a)(4b) + (-4b)(5a) + (-4b)(4b) = 25a^2 + 20ab - 20ab - 16b^2 = 25a^2 - 16b^2

2. (3a + 2b)(3a - 2b) = (3a)(3a) + (3a)(-2b) + (2b)(3a) + (2b)(-2b) = 9a^2 - 6ab + 6ab - 4b^2 = 9a^2 - 4b^2

Now, let's subtract the second expression from the first:

(25a^2 - 16b^2) - (9a^2 - 4b^2) = 25a^2 - 16b^2 - 9a^2 + 4b^2 = (25a^2 - 9a^2) + (-16b^2 + 4b^2) = 16a^2 - 12b^2

So, the simplified expression is: 16a^2 - 12b^2.