SOLUTION: Add or subtract as indicated. Express your result in simplest form. 2/ 5w + 10 – 3/ 2w – 4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add or subtract as indicated. Express your result in simplest form. 2/ 5w + 10 – 3/ 2w – 4       Log On


   

Question 75960: Add or subtract as indicated. Express your result in simplest form.
2/ 5w + 10 – 3/ 2w – 4

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!



      2               3 

___________   -   ________

  5w + 10          2w – 4





Since the denominators are not the same, we will find LCD (least common denominator)= (5w + 10)(2w - 4)





      2       (5w + 10)(2w - 4)         3        (5w + 10)(2w - 4)

___________ * _________________  -   ________ * ___________________

  5w + 10     (5w + 10)(2w - 4)       2w – 4     (5w + 10)(2w - 4)









     2 ( 2w - 4)             3(5w + 10)

___________________  -  ___________________

 (5w + 10)(2w - 4)       (5w + 10)(2w - 4)









     4w - 8                  15w + 30

___________________  -  ___________________

 (5w + 10)(2w - 4)       (5w + 10)(2w - 4)









     4w - 8  - (15w + 30)

    ______________________  

     (5w + 10)(2w - 4)    









     4w - 8  - 15w - 30)

    ______________________  

     (5w + 10)(2w - 4)  









        -11w - 38

    _______________________

      (5w + 10)(2w - 4)  







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