Real deal, this is for a presentation where we present our question in full. WHOEVER answers this question SHOWING THE WORK also gets brainliest on top of these huge points. PLEASE HELP!! Simplify:

         -259dot - 12abc3

 ————————————————

                  3abc3      

Step-by-step explanation:

Dividing exponential expressions :

a2 divided by a3 = a(2 - 3) = a(-1) = 1/a1 = 1/a

b3 divided by b4 = b(3 - 4) = b(-1) = 1/b1 = 1/b    

Equation at the end of step 3:  -7      

                                       (37 • —————) -  4

                                                 3abc3    

Rewriting the whole as an Equivalent Fraction:

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3abc3  as the denominator :

          4       4 • 3abc3

   4 =  —  =  —————————

           1         3abc3  

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:

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

     -259dot - (4 • 3abc3)                                         -259dot - 12abc3

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

             3abc3                                                                     3abc3      

Pulling out like terms:

Pull out like factors :

 -259dot - 12abc3  =   -1 • (259dot + 12abc3)

Trying to factor as a Sum of Cubes:

Factoring:  259dot + 12abc3

Theory : A sum of two perfect cubes,  a3 + b3 can be factored into  :

            (a+b) • (a2-ab+b2)

Proof  : (a+b) • (a2-ab+b2) =

   a3-a2b+ab2+ba2-b2a+b3 =

   a3+(a2b-ba2)+(ab2-b2a)+b3=

   a3+0+0+b3=

   a3+b3

Check :  259  is not a cube !!

-Hope this helped

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