SOLUTION: Reduce the following rational expressions to their simplest form. A)5x-10/5x B) 8x+56/4x-28 C) (15x^(2)+9x^(3))/(15x^(2)+9x) D) 6x-3/1-2x E) (3x^(2)-48)/(24-6x) 7. Simplifyin

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Reduce the following rational expressions to their simplest form. A)5x-10/5x B) 8x+56/4x-28 C) (15x^(2)+9x^(3))/(15x^(2)+9x) D) 6x-3/1-2x E) (3x^(2)-48)/(24-6x) 7. Simplifyin      Log On


   

Question 1160804: Reduce the following rational expressions to their simplest form.
A)5x-10/5x
B) 8x+56/4x-28
C) (15x^(2)+9x^(3))/(15x^(2)+9x)
D) 6x-3/1-2x
E) (3x^(2)-48)/(24-6x)
7. Simplifying the following by adding and substracting.
A) (x+2)/(12)-(5-3x)/(3)-(5x)/(2)
B) (x+2)/(5x^(2))-(3-4x)/(6)
C) (5x)/(4x-3)-(3x)/(2x+3)
d) (x+2)/(49-x^(2))-(4)/(3x-21)
Found 3 solutions by solver91311, MathLover1, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!





John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Reduce the following rational expressions to their simplest form.
A)

%285x-10%29%2F5x

5%28x-2%29%2F5x

cross%285%29%28x-2%29%2Fcross%285%29x

%28x-2%29%2Fx


B)

%288x%2B56%29%2F%284x-28%29

8%28x%2B7%29%2F4%28x-7%29

cross%288%292%28x%2B7%29%2Fcross%284%29%28x-7%29

2%28x%2B7%29%2F%28x-7%29


C)

%2815x%5E2%2B9x%5E3%29%2F%2815x%5E2%2B9x%29

3x%5E2%285%2B3x%29%2F3x%285x%2B3%29

cross%283x%5E2%29x%285%2B3x%29%2Fcross%283x%29%285x%2B3%29

x%285%2B3x%29%2F%285x%2B3%29


D)

%286x-3%29%2F%281-2x%29

%28-3%2B6x%29%2F%281-2x%29

-3%281-2x%29%2F%281-2x%29

-3cross%28%281-2x%29%29%2Fcross%28%281-2x%29%29

-3


E)

%283x%5E2-48%29%2F%2824-6x%29

%283%28x%5E2-16%29%29%2F%286%284-x%29%29

%28cross%283%29%28x%5E2-4%5E2%29%29%2F%28-cross%286%292%28x-4%29%29

%28%28x-4%29%28x%2B4%29%29%2F%28-2%28x-4%29%29

%28cross%28%28x-4%29%29%28x%2B4%29%29%2F%28-2cross%28%28x-4%29%29%29

%28x%2B4%29%2F%28-2%29

-%28x%2B4%29%2F2


7. Simplifying the following by adding and subtracting.

A)

%28x%2B2%29%2F12-%285-3x%29%2F3-%285x%29%2F2....common denominator is 12

%28x%2B2%29%2F12-4%285-3x%29%2F12-6%285x%29%2F12

%28x%2B2%29%2F12-%2820-12x%29%2F12-%2830x%29%2F12

%28x%2B2-%2820-12x%29-30x%29%2F12

%28x%2B2-20%2B12x-30x%29%2F12

%28-17x+-+18%29%2F12


B)
+%28x%2B2%29%2F%285x%5E2%29-%283-4x%29%2F6.......common denominator 30x%5E2

+6%28x%2B2%29%2F%2830x%5E2%29-%285x%5E2%283-4x%29%29%2F%2830x%5E2%29

+%286%28x%2B2%29-%285x%5E2%283-4x%29%29%29%2F%2830x%5E2%29

+%286x%2B12-%2815x%5E2-20x%5E3%29%29%2F%2830x%5E2%29

+%2820x%5E3+-+15x%5E2+%2B+6x+%2B+12%29%2F%2830x%5E2%29

+2x%2F3+-+1%2F2+%2B+1%2F%285x%29+%2B+2%2F%285x%5E2%29

C)

+5x%2F%284x-3%29-3x%2F%282x%2B3%29



+%2810x%5E2%2B15x-%2812x%5E2-9x%29%29%2F%28%282x%2B3%29%284x-3%29%29

+%2810x%5E2%2B15x-12x%5E2%2B9x%29%2F%28%282x%2B3%29%284x-3%29%29

+%28-2x%5E2%2B24x%29%2F%28%282x%2B3%29%284x-3%29%29

+-2x%28x-12%29%2F%28%282x%2B3%29%284x-3%29%29


d)

%28x%2B2%29%2F%2849-x%5E2%29-4%2F%283x-21%29

%28x%2B2%29%2F%28-%28x%5E2-7%5E2%29%29-4%2F3%28x-7%29

-%28x%2B2%29%2F%28%28x-7%29%28x%2B7%29%29-4%2F3%28x-7%29

-3%28x%2B2%29%2F%283%28x-7%29%28x%2B7%29%29-%284%28x%2B7%29%29%2F%283%28x-7%29%28x%2B7%29%29

%28-3%28x%2B2%29-4%28x%2B7%29%29%2F%283%28x-7%29%28x%2B7%29%29

%28-7x+-+34%29%2F%283%28x-7%29%28x%2B7%29%29


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A)5x-10/5x
Ambiguous.
Is it 5x-10%2F5x ?
Or %285x-10%29%2F5x ?
-------------
B) 8x+56/4x-28
Ambiguous.
Add parentheses.
They're free.