Answer:
20 Answer:
(x + 19)/(3x)
21 Answer:
1/(x+2)
22 Answer:
(3x + 2) / x^2
Explanation:
20:
The two fractions have a common denominator of 3x, so we can add them by simply adding their numerators and keeping the denominator the same:
14/(3x) + (x+5)/(3x) = (14 + x + 5)/(3x) = (x + 19)/(3x)
Therefore, the simplified expression is (x + 19)/(3x).
21:
We can simplify the expression as follows:
4/(x+2) - 3/(x+2) = (4 - 3)/(x+2) = 1/(x+2)
Therefore, the simplified expression is 1/(x+2).
22:
To simplify the expression 3/x + 2/x^2, we first need to find a common denominator for the two terms. The common denominator is x^2, so we can rewrite the expression as:
3x/x^2 + 2/x^2
Now we can combine the two terms by adding their numerators and keeping the same denominator:
(3x + 2) / x^2
Therefore, the simplified expression is (3x + 2) / x^2.