1/4b^2+ 4bc + 16c?=4
Step-by-step explanation:
STEP
1
:
      1
Simplify  —
      4
Equation at the end of step
1
:
  1         Â
 ((— • b2) +  4bc) +  16c
  4         Â
STEP
2
:
Equation at the end of step 2
 b2      Â
 (—— +  4bc) +  16c
 4      Â
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Â Adding a whole to a fraction
Rewrite the whole as a fraction using  4  as the denominator :
     4bc   4bc • 4
  4bc =  ———  =  ———————
      1     4 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 :
3.2 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:
b2 + 4bc • 4   b2 + 16bc
————————————  =  —————————
   4        4  Â
Equation at the end of step
3
:
 (b2 + 16bc)  Â
 ——————————— +  16c
   4    Â
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Â Adding a whole to a fraction
Rewrite the whole as a fraction using  4  as the denominator :
     16c   16c • 4
  16c =  ———  =  ———————
      1     4 Â
STEP
5
:
Pulling out like terms
5.1 Â Â Pull out like factors :
 b2 + 16bc  =  b • (b + 16c)
Adding fractions that have a common denominator :
5.2 Â Â Â Adding up the two equivalent fractions
b • (b+16c) + 16c • 4   b2 + 16bc + 64c
—————————————————————  =  ———————————————
     4            4   Â