11g2h2 + h2 + 13
———————————
h2
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
(((22g2 + ——) + 7g2) + ——) + 1
h2 h2
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a fraction to a whole
Rewrite the whole as a fraction using h2 as the denominator :
22g2 22g2 • h2
22g2 = ———— = —————————
1 h2
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 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
Equation at the end of step 5 :
(4g2h2 + 9) 4
((——————————— + 7g2) + ——) + 1
h2 h2
Step 6 :
Rewriting the whole as an Equivalent Fraction :
6.1 Adding a whole to a fraction
Rewrite the whole as a fraction using h2 as the denominator :
7g2 7g2 • h2
7g2 = ——— = ————————
1 h2
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
(4g2h2+9) + 7g2 • h2 11g2h2 + 9
———————————————————— = ——————————
h2 h2
Equation at the end of step 6 :
(11g2h2 + 9) 4
(———————————— + ——) + 1
h2 h2
Step 7 :
Adding fractions which have a common denominator :
7.1 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 11g2h2 + 13
—————————————— = ———————————
h2 h2
Equation at the end of step 7 :
(11g2h2 + 13)
————————————— + 1
h2
Step 8 :
Rewriting the whole as an Equivalent Fraction :
8.1 Adding a whole to a fraction
Rewrite the whole as a fraction using h2 as the denominator :
1 1 • h2
1 = — = ——————
1 h2
Adding fractions that have a common denominator :
8.2 Adding up the two equivalent fractions
(11g2h2+13) + h2 11g2h2 + h2 + 13
———————————————— = ————————————————
h2 h2
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
Processing ends successfully
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