Question

(3a-1/3a+1 - 3a+1/3a-1）* 4a/21a+7

Answer 1

(0+0+0)*4а/21*а+7
0*4а/21*а+7
0*4а/21*а+7
0+7=7

Answer 2

To simplify the expression ((3a-1)/(3a+1) - (3a+1)/(3a-1)) * (4a)/(21a+7), we'll follow these steps:

Step 1: Find a common denominator for the fractions in the parentheses. Step 2: Combine the fractions in the parentheses using the common denominator. Step 3: Simplify the resulting expression.

Let's start with Step 1:

Step 1: Find a common denominator for the fractions in the parentheses. The common denominator for (3a+1) and (3a-1) is (3a+1)(3a-1).

Step 2: Combine the fractions in the parentheses using the common denominator. (3a-1)/(3a+1) - (3a+1)/(3a-1) can be written as follows:

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

Step 3: Simplify the resulting expression. Expanding the numerator:

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

Combine like terms in the numerator:

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

Now, simplify further:

[-12a] / [(3a+1)(3a-1)]

Next, let's work on the last part of the expression:

(4a) / (21a + 7)

Now, we can proceed to the final step and combine both simplified expressions:

[((-12a) / ((3a+1)(3a-1))) * (4a) / (21a + 7)]

To multiply fractions, we multiply the numerators together and the denominators together:

(-12a * 4a) / ((3a+1)(3a-1)(21a + 7))

Now, let's simplify the numerator:

-48a^2 / ((3a+1)(3a-1)(21a + 7))

This is the simplified expression. If you need to evaluate it for a specific value of 'a', you can substitute 'a' into the expression and perform the arithmetic.