Question

1/4b^2+ 4bc + 16c? Answer?

Answer 1

Answer:

1/4b^2+ 4bc + 16c?=4

Step-by-step explanation:

STEP

1

:

           1

Simplify   —

           4

Equation at the end of step

1

:

   1                  

 ((— • b2) +  4bc) +  16c

   4                  

STEP

2

:

Equation at the end of step 2

  b2            

 (—— +  4bc) +  16c

  4            

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          4bc     4bc • 4

   4bc =  ———  =  ———————

           1         4  

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       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    

Equation at the end of step

3

:

 (b2 + 16bc)    

 ——————————— +  16c

      4        

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          16c     16c • 4

   16c =  ———  =  ———————

           1         4  

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  b2 + 16bc  =   b • (b + 16c)

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

b • (b+16c) + 16c • 4     b2 + 16bc + 64c

—————————————————————  =  ———————————————

          4                      4