Iwouldhighly appreciate it if someone could solve these forme.I think I typed themout correctly. What I'm looking at,for instance,the first one,is displayed 5n over 3 times 4n over 3
1.5n/3-4n/3
2.3x/10+9x/10
3.n-2/n+4+8/n+4
4.5m+8/m-1 - m-3/m-1
5.x^2/x-1 - 1/x-1
6.4x+y/2x+3y-2x -2y/2x+3y
7.x^2+3x+2/x^2-16 + 3x++6/x^2-16
8.7/x-5 - 2+x/x-5
hold on, times 4n over 3 or minus?
over
no, I mean 5n/3 MINUS OR TIMES 4n/3?
.5n/3-4n/3
To solve these expressions, we need to simplify them step by step. Let's go through each expression one by one:
1. 5n/3 - 4n/3:
To subtract fractions, we need a common denominator. In this case, the common denominator is 3. Simplify the expression by combining the numerators:
(5n - 4n)/3 = n/3
2. 3x/10 + 9x/10:
To add fractions, we need a common denominator. In this case, the common denominator is 10. Simplify the expression by combining the numerators:
(3x + 9x)/10 = 12x/10 = 6x/5
3. n-2/n+4 + 8/n+4:
To add fractions, we need a common denominator. In this case, the common denominator is (n + 4). Simplify the expression by combining the numerators:
(n - 2 + 8)/(n + 4) = (n + 6)/(n + 4)
4. (5m + 8)/(m - 1) - (m - 3)/(m - 1):
To subtract fractions, we need a common denominator. In this case, the common denominator is (m - 1). Simplify the expression by combining the numerators:
((5m + 8) - (m - 3))/(m - 1) = (5m - m + 8 + 3)/(m - 1) = (4m + 11)/(m - 1)
5. x^2/(x - 1) - 1/(x - 1):
To subtract fractions, we need a common denominator. In this case, the common denominator is (x - 1). Simplify the expression by combining the numerators:
(x^2 - 1)/(x - 1)
6. (4x + y)/(2x + 3y) - (2x - 2y)/(2x + 3y):
To subtract fractions, we need a common denominator. In this case, the common denominator is (2x + 3y). Simplify the expression by combining the numerators:
((4x + y) - (2x - 2y))/(2x + 3y) = (4x + y - 2x + 2y)/(2x + 3y) = (2x + 3y)/(2x + 3y) = 1
7. (x^2 + 3x + 2)/(x^2 - 16) + (3x + 6)/(x^2 - 16):
To add fractions, we need a common denominator. In this case, the common denominator is (x^2 - 16). Simplify the expression by combining the numerators:
((x^2 + 3x + 2) + (3x + 6))/(x^2 - 16) = (x^2 + 3x + 3x + 2 + 6)/(x^2 - 16) = (x^2 + 6x + 8)/(x^2 - 16)
8. 7/(x - 5) - (2 + x)/(x - 5):
To subtract fractions, we need a common denominator. In this case, the common denominator is (x - 5). Simplify the expression by combining the numerators:
(7 - (2 + x))/(x - 5) = (7 - 2 - x)/(x - 5) = (5 - x)/(x - 5)
These are the simplified expressions for the given equations.