Question

(5а-4b)(5a+4b)-(3a+2b)(3a-2b​

Answer 1

Ответ:

(5а-4b)(5a+4b)-(3a+2b)(3a-2b​)=25а^2+20ab-20ab-16b^2-9a^2+6ab-6ab+4b^2=16a^2-12b^2

Объяснение:

^2 это в квадрате

Answer 2

Ответ:

ответ в фото

Объяснение:

ответ в фото

Answer 3

To simplify the given expression, you can use the distributive property (also known as the FOIL method) to multiply the two sets of parentheses, and then subtract the result of the second multiplication from the result of the first multiplication. Let's go step by step:

Given expression: (5a - 4b)(5a + 4b) - (3a + 2b)(3a - 2b)

Step 1: Multiply the first set of parentheses using the FOIL method: (5a - 4b)(5a + 4b) = 5a * 5a + 5a * 4b - 4b * 5a - 4b * 4b = 25a^2 + 20ab - 20ab - 16b^2 = 25a^2 - 16b^2

Step 2: Multiply the second set of parentheses using the FOIL method: (3a + 2b)(3a - 2b) = 3a * 3a + 3a * -2b + 2b * 3a - 2b * 2b = 9a^2 - 6ab + 6ab - 4b^2 = 9a^2 - 4b^2

Now, subtract the result of the second multiplication from the result of the first multiplication: (25a^2 - 16b^2) - (9a^2 - 4b^2) = 25a^2 - 16b^2 - 9a^2 + 4b^2 = 16a^2 - 20b^2

So, the simplified expression is 16a^2 - 20b^2.