Question

(17 + a)(17 - a) - (0,6 - a)(a + 0,6)​

Answer 1

Ответ:

288,64

Пошаговое объяснение:

По формуле (a - b)(a + b) = $a^{2} - b^{2}$ находим:

(17 + a)(17 - a) - (0,6 - a)(a + 0,6)​ = 17² - a² - (0,6² - a²) = 289 - a² - 0,36 + a² = 289 - 0,36 = 288,64

Answer 2

(17+a)(17-a)-(0,6-a)(a+0,6)=

289-a²-(0,6-a)(a+0,6)=

289-a²-(0,6²-a²)=

289-a²-((3/5)²-a²)=

289-a²-(9/25-a²)=

289-a²-9/25+a²=

289-9/25=

7216/25=

288 16/25=

288,64

Answer 3

To simplify the expression (17 + a)(17 - a) - (0.6 - a)(a + 0.6), you can follow these steps:

1. Expand the products in each term:

   • First term: (17 + a)(17 - a) = 17 * 17 - a^2
   • Second term: (0.6 - a)(a + 0.6) = 0.6a + 0.6 * 0.6 - a^2 - 0.6a

2. Now, simplify the expression:

   • 17 * 17 - a^2 - (0.6a + 0.36 - a^2 - 0.6a)

3. Combine like terms:

   • 289 - a^2 - 0.36 + a^2 + 0.6a

4. Now, simplify further:

   • 289 - 0.36 + 0.6a

5. Finally, calculate the result:

   • 288.64 + 0.6a

So, the simplified expression is 288.64 + 0.6a.