(u+1)² • (10u-10)²
———————— =
100-100u³ • 1-u²

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вопрос

To simplify this expression, we can first expand out the terms:

(u+1)² = u² + 2u + 1
(10u-10)² = 100u² - 200u + 100

Next, we can multiply the expanded terms:

(u² + 2u + 1)(100u² - 200u + 100) = 100u⁴ - 200u³ + 100u² + 200u³ - 400u² + 200u + 100u² - 200u + 100
= 100u⁴ - 100u² + 100

To find the denominator, we need to expand the expression:

100 - 100u³ • 1 - u² = 100 - 100u³ - 100u² + 100u⁵

Now, we can put both parts together and simplify the expression:

(100u⁴ - 100u² + 100) / (100 - 100u³ - 100u² + 100u⁵)