Виконайте ділення: a2-100 a2-10a+25:a-10 a-5

To divide the expression a^2 - 100 by a - 10, we can use polynomial long division. Let's proceed step by step:

1. Compare the leading term in the dividend (a^2 - 100) with the divisor (a - 10). Divide the leading term of the dividend by the leading term of the divisor. Here, a^2 ÷ a = a.
2. Multiply the divisor (a - 10) by the result from step 1, which is "a." This gives us a^2 - 10a.
3. Subtract this result from the dividend: (a^2 - 100) - (a^2 - 10a) = -10a - 100.
4. Now, bring down the next term. We bring down the next term, which is -100, to get -10a - 100.
5. Repeat the process. Divide the leading term of the new dividend (-10a) by the divisor (a - 10). The result is -10.
6. Multiply the divisor (a - 10) by the result from step 5, which is -10. This gives us -10a + 100.
7. Subtract this result from the new dividend: (-10a - 100) - (-10a + 100) = 0.

Therefore, the division of a^2 - 100 by a - 10 is a - 10. The answer is a - 10.