(3a-1/3a+1 - 3a+1/3a-1）* 4a/21a+7

Предыдущий
вопрос Следующий
вопрос

To simplify this expression, let's first simplify the terms inside the parentheses:

(3a-1)/(3a+1) - (3a+1)/(3a-1)

To simplify these two fractions, we need to find a common denominator. The common denominator in this case is (3a+1)(3a-1).

(3a-1)/(3a+1) = [(3a-1)(3a-1)]/[(3a+1)(3a-1)] = (9a^2 -6a + 1)/(9a^2 - 1)

(3a+1)/(3a-1) = [(3a+1)(3a+1)]/[(3a-1)(3a+1)] = (9a^2 + 6a +1)/(9a^2 - 1)

Now, let's substitute these two fractions back into the original expression and simplify further:

[(9a^2 -6a + 1)/(9a^2 - 1)] - [(9a^2 + 6a +1)/(9a^2 - 1)]

= [9a^2 -6a + 1 - 9a^2 - 6a - 1]/(9a^2 - 1)

= [-12a]/(9a^2 - 1)

Now, we have:

[-12a]/(9a^2 - 1) * 4a/(21a + 7)

Expanding the expression further:

(-12a * 4a)/(9a^2 - 1)(21a + 7)

= (-48a^2)/(189a^3 + 63a - 21a - 7)

= (-48a^2)/(189a^3 + 42a - 7)

Therefore, the simplified form of the given expression is (-48a^2)/(189a^3 + 42a - 7).