SOLUTION: PLease help me with these math problem!! PLEASE, by today! PLEASEEE!!! 1. Simplify the rational expression: 4x(to the 2nd power)Y(to the 8th power) ___________ _______

Algebra ->  Rational-functions -> SOLUTION: PLease help me with these math problem!! PLEASE, by today! PLEASEEE!!! 1. Simplify the rational expression: 4x(to the 2nd power)Y(to the 8th power) ___________ _______      Log On


   

Question 148107: PLease help me with these math problem!! PLEASE, by today! PLEASEEE!!!
1. Simplify the rational expression:

4x(to the 2nd power)Y(to the 8th power)
_______________________________________
10x(to the 4th power) Y (to the 11th power)

2. Simplify the rational expression:
Y(to the 2nd power) + 8y-9
_________________________
Y(to the 2nd power) -1


3.Simplify the rational expression:
2-X
___
x-2

4. Multiply:
4x-12 x(to the 2nd power) +3X
_____ X ____________________
X 3X-9
5. Multiply:
6T(to the 2nd power) -4T-2 9T(to the 2nd power) +45T
_____________________ X ____________________ 3 3T(to the 3rd power) + T(to the 2nd power)


6. Divide:
3X(to the 2nd power) + 3X X(to the 2nd power) - 1
_____________________ / __________________
2 6X

7. Add or subtract as indicated ans simplify if possible:
29y + 12y
___ ___
14 14

8. Add or subtract as indicated ans simplify if possible:
T(to the 2nd power) -8 -4+13
__________________ - _______
T-3 T-3

9. Find the least common denominator of the rational expressions:
2 5 -2
__ __ ____
3x 14x(to the 3rd power) 7x(to the 2nd power)

10. Add:
11 x+8
_______________ + _____
2x(2nd power) +4x x+12

11. Subtract:
X 3-x(2nd power)
____ - ____________
x+10 x(2nd power) -100

12. Simplify the complex fraction using method I:
8a 6ab
____________ / ______
3b(2nd power) 5

13. Simplify the complex fraction using method II:
T-3T(-2 power)
____________
5-2T (-1 power)
14. Solve the equation:
y -1 + 1
_______ = ____

2y-4 y+2


15. Solve the equation:
t-2 t+17 1
____ = _____________ - _____
t-1 t(2nd power)-1 t+1
Found 2 solutions by checkley77, mangopeeler07:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4x(to the 2nd power)Y(to the 8th power)
_______________________________________
10x(to the 4th power) Y (to the 11th power)
4x^2y^8/10x^4y^11
2/5x^2y^3
---------------------------------------------------------
Y(to the 2nd power) + 8y-9
_________________________
Y(to the 2nd power) -1
(y^2+8y-9)/(y^2-1)
(y+9)(y-1)/(y+1)(y-1)
(y+9)/(y+1)
--------------------------------------------------------

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
1. %284x%5E2y%5E8%29%2F%2810x%5E4y%5E11%29

Reduce 4/10
%282x%5E2y%5E8%29%2F%285x%5E4y%5E11%29

Then subtract the top exponents from the bottom ones
2%2F%285x%5E2y%5E3%29

2. %28y%5E2%2B8y-9%29%2F%28y%5E2-1%29

Factor
%28y-1%29%28y%2B9%29%2F%28y-1%29%28y%2B1%29

Cancel y-1
%28y%2B9%29%2F%28y%2B1%29

3. %282-x%29%2F%28x-2%29

Factor out a -1 in the denominator
%282-x%29%2F-1%28-x%2B2%29

Reorder the denominator
%282-x%29%2F-1%282-x%29
Cancel out 2-x
-1%2F1

4. %28%284x-12%29%2Fx%29%28%28x%5E2%2B3x%29%2F%283x-9%29%29

Factor everything possible
%284%28x-3%29%2Fx%29%28x%28x%2B3%29%2F3%28x-3%29%29

Cross out all expression in common
%284%2F1%29%28%28x%2B3%29%2F3%29

Multiply across
%284%28x%2B3%29%29%2F3

5.
%28%286t%5E2-4t-2%29%2F3%29%28%289t%5E2%2B45t%29%2F%283t%5E3%2Bt%5E2%29%29

Factor
%28%28t-1%29%286t%2B2%29%2F3%29%28%289t%28t%2B5%29%29%2Ft%5E2%283t%2B1%29%29

Nothing to cancel, so multiply across
%28t-1%29%286t%2B2%299t%28t%2B5%29%2F3%28t%5E2%283t%2B1%29%29

Reduce 9t to 3t
%28t-1%29%286t%2B2%293t%28t%2B5%29%2F1%28t%5E2%283t%2B1%29%29

Reduce 6t+2 to 3t+1
%28t-1%29%283t%2B1%293t%28t%2B5%29%2F1%28t%5E2%29

6.
%28%283x%5E2%2B3x%29%2F2%29%2F%28%28x%5E2-+1%29%2F6x%29

Switch it to multiplication

%28%283x%5E2%2B3x%29%2F2%29%286x%2F%28x%5E2-+1%29%29

Factor out everything

%283x%28x%2B1%29%2F2%29%286x%2F%28x-+1%29%28x%2B1%29%29

Cancel out x+1
%283x%2F2%29%286x%2F%28x-+1%29%29

Multiply across

%2818x%5E2%29%2F2%28x-1%29

Divide 18 by 2

%289x%5E2%29%2F%28x-1%29

7. %2829y%2B12y%29%2F14

Add 29y and 12y
41y%2F14

8. %28%28t%5E2-8%29%2F%28t-3%29%29-%28%28-4%2B13%29%2F%28t-3%29%29

Do t%5E2-8%2B4-13
Gett%5E2-17

%28t%5E2-17%29%2F%28t-3%29

9-15 I will do later for you. This is a long question, but I will try to finish the rest of it later on today.