11g2h2 + h2 + 13
 ———————————
        h2   Â
Step-by-step explanation:
Step  1  :
      4
Simplify  ——
      h2
Equation at the end of step  1  :
        9        4
 4•(g2))+————)+(7•(g2)))+——)+1
       (h2)       h2
Step  2  :
Equation at the end of step  2  :
        9     4
 4•(g2))+————)+7g2)+——)+1
       (h2)    h2
Step  3  :
      9
Simplify  ——
      h2
Equation at the end of step  3  :
       9     4
 4•(g2))+——)+7g2)+——)+1
       h2    h2
Step  4  :
Equation at the end of step  4  :
       9        4  Â
 (((22g2 +  ——) +  7g2) +  ——) +  1
      h2       h2  Â
Step  5  :
Rewriting the whole as an Equivalent Fraction :
5.1 Â Adding a fraction to a whole
Rewrite the whole as a fraction using  h2  as the denominator :
      22g2   22g2 • h2
  22g2 =  ————  =  —————————
       1      h2  Â
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Â Â Â Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
22g2 • h2 + 9   4g2h2 + 9
—————————————  =  —————————
   h2        h2  Â
Equation at the end of step  5  :
  (4g2h2 + 9)       4  Â
 ((——————————— +  7g2) +  ——) +  1
    h2         h2  Â
Step  6  :
Rewriting the whole as an Equivalent Fraction :
6.1 Â Adding a whole to a fraction
Rewrite the whole as a fraction using  h2  as the denominator :
     7g2   7g2 • h2
  7g2 =  ———  =  ————————
      1     h2 Â
Adding fractions that have a common denominator :
6.2 Â Â Â Adding up the two equivalent fractions
(4g2h2+9) + 7g2 • h2    11g2h2 + 9
————————————————————  =  ——————————
     h2          h2  Â
Equation at the end of step  6  :
 (11g2h2 + 9)   4  Â
 (———————————— +  ——) +  1
    h2     h2  Â
Step  7  :
Adding fractions which have a common denominator :
7.1 Â Â Â Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(11g2h2+9) + 4 Â Â 11g2h2 + 13
——————————————  =  ———————————
   h2        h2  Â
Equation at the end of step  7  :
 (11g2h2 + 13)  Â
 ————————————— +  1
   h2     Â
Step  8  :
Rewriting the whole as an Equivalent Fraction :
8.1 Â Adding a whole to a fraction
Rewrite the whole as a fraction using  h2  as the denominator :
    1   1 • h2
  1 =  —  =  ——————
    1    h2 Â
Adding fractions that have a common denominator :
8.2 Â Â Â Adding up the two equivalent fractions
(11g2h2+13) + h2 Â Â 11g2h2 + h2 + 13
————————————————  =  ————————————————
    h2          h2   Â
Trying to factor a multi variable polynomial :
8.3   Factoring   11g2h2 + h2 + 13
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
 11g2h2 + h2 + 13
 ————————————————
    h2   Â
Processing ends successfully
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