Question

4m-10+2m cube +m square / 2m-3

Answer 1

Answer:

m3 + 4mcube + 8m - 26

 —————————————————————

           2        

Step-by-step explanation:

 

Step by step solution :

Step  1  :

           m2

Simplify   ——

           2  

Equation at the end of step  1  :

                         m2          

 ((2mcube + 4m - 10) +  (—— • m)) -  3

                         2            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

                        2mcube + 4m - 10     (2mcube + 4m - 10) • 2

    2mcube + 4m - 10 =  ————————————————  =  ——————————————————————

                               1                       2            

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

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  2mcube + 4m - 10  =   2 • (mcube + 2m - 5)  

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:

2 • (mcube+2m-5) • 2 + m3     m3 + 4mcube + 8m - 20

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

            2                           2          

Equation at the end of step  3  :

 (m3 + 4mcube + 8m - 20)    

 ——————————————————————— -  3

            2                

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        3     3 • 2

   3 =  —  =  —————

        1       2  

Checking for a perfect cube :

4.2    m3 + 4mcube + 8m - 20  is not a perfect cube

Adding fractions that have a common denominator :

4.3       Adding up the two equivalent fractions

(m3+4mcube+8m-20) - (3 • 2)     m3 + 4mcube + 8m - 26

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

             2                            2          

Checking for a perfect cube :

4.4    m3 + 4mcube + 8m - 26  is not a perfect cube

Final result :

 m3 + 4mcube + 8m - 26

 —————————————————————

           2