4х/3в-21 + 3в/14-2в

To simplify the expression, we'll start by finding a common denominator for the fractions.

The denominators are 3в and 14-2в. To find the common denominator, we need to factorize 14-2в.

14-2в can be rewritten as 2(7-в).

Now the common denominator becomes 3в * 2(7-в) = 6в(7-в).

Next, we'll simplify each fraction by multiplying the numerator and denominator with the same factor to get the common denominator.

For the first fraction, we'll multiply both the numerator and denominator by 2(7-в).

(4х/3в) * (2(7-в)/2(7-в)) = 8х(7 - в) / 6в(7 - в)

For the second fraction, we'll multiply both the numerator and denominator by 3в.

(3в/14-2в) * (3в/3в) = 9в^2 / 3в(7-в)

Now our expression becomes:

(8х(7 - в) / 6в(7 - в)) + (9в^2 / 3в(7-в))

Since the denominators are now the same, we can combine the fractions by adding the numerators:

(8х(7 - в) + 9в^2) / 6в(7 - в)

And that's our simplified expression.