Can someone PLEASE show me how to solve these?I never could understand these types of equetions.(3x/10)+(9x/10)
(n-2/n+4)+(8/[n+4])
(5m+8/[m-1]) - (m-3/[m-1])
(x^2/[x-1]) - (1/[x-1])
(4x+y/[2x+3y])-(2x -2y/[2x+3y])
(x^2+3x+2/[x^2-16] + (3x++6/[x^2-16])
7/(x-5) - (2+x/[x-5])
Since they are not equations, they cannot be "solved," but they can be simplified.
(n-2/n+4)+(8/[n+4])
Since both have a denominator of n+4, the numerators can be combined.
(n-2+8)/(n+4) = (n+6)/(n+4)
The same process can be used with the other expressions.
I hope this helps. Thanks for asking.
To solve or simplify these types of equations, you need to understand the concept of combining like terms and simplifying fractions. Let's go through each expression step by step:
1. (3x/10) + (9x/10):
- Since both terms have a common denominator of 10, you can add the numerators: 3x + 9x = 12x.
- The final expression is 12x/10, but it can be simplified by dividing both the numerator and denominator by their greatest common divisor (2 in this case).
- Simplifying further, you get 6x/5.
2. (n-2/n+4) + (8/[n+4]):
- Here, the denominators are the same, so you can combine the numerators: (n-2) + 8 = n + 6.
- The final expression is (n+6)/(n+4).
3. (5m+8/[m-1]) - (m-3/[m-1]):
- The denominators are the same, so you can combine the numerators: (5m+8) - (m-3) = 5m+8-m+3 = 4m+11.
- The final expression is (4m+11)/(m-1).
4. (x^2/[x-1]) - (1/[x-1]):
- Both fractions have a common denominator of (x-1), so you can subtract the numerators: x^2 - 1.
- The final expression becomes (x^2 - 1)/(x-1).
5. (4x+y/[2x+3y]) - (2x -2y/[2x+3y]):
- The denominators are equivalent, so you can combine the numerators: (4x+y) - (2x-2y) = 2x + 3y.
- The final expression is (2x + 3y)/(2x + 3y).
6. (x^2+3x+2/[x^2-16]) + (3x+6/[x^2-16]):
- The denominators are the same, so you can combine the numerators: (x^2+3x+2) + (3x+6) = x^2 + 6x + 8.
- The final expression becomes (x^2 + 6x + 8)/(x^2 - 16).
7. 7/(x-5) - (2+x/[x-5]):
- The denominators are the same, so you can combine the numerators: 7 - (2 + x) = 5 - x.
- The final expression is (5 - x)/(x - 5).
Remember to always check if you can simplify the final expression further by factoring or canceling out common factors.