(9x10^12)-(8.1x10^11)
How to solve this problem

8.19e+12

Explanation:

STEP

1

:

1.1     10 = 2•5

(10)11 = (2•5)11 = 211 • 511

Equation at the end of step

1

:

                 81

 (9•(x(10^12)))-(——•(x(2^11•5^11)))

                 10

STEP

2

:

           81

Simplify   ——

           10

Equation at the end of step

2

:

                      81

 (9 • (x(10^12))) -  (—— • x1215752192)

                      10

STEP

3

:

Equation at the end of step 3

                     81x1215752192

 (9 • (x(10^12))) -  —————————————

                          10      

STEP

4

:

4.1     10 = 2•5

(10)12 = (2•5)12 = 212 • 512

Equation at the end of step

4

:

                         81x1215752192

 (9 • (x(2^12•5^12))) -  —————————————

                              10      

STEP

5

:

Equation at the end of step

5

:

                    81x1215752192

 32x(-727379968) -  —————————————

                         10      

STEP

6

:

Rewriting the whole as an Equivalent Fraction

6.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

                       32x(-727379968)      32x(-727379968) • 10

    32x(-727379968) =  ———————————————  =  ————————————————————

                              1                     10        

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 :

6.2       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:

32x(-727379968) • 10 - (81x1215752192)      90x(-727379968) - 81x1215752192

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

                  10                                     10              

STEP

7

:

Pulling out like terms :

7.1     Pull out like factors :

  90x(-727379968) - 81x1215752192  =   -9x(-727379968) • (9x1943132160 - 10)

Trying to factor as a Difference of Squares:

7.2      Factoring:  9x1943132160 - 10

Check :  9  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

 -9x(-727379968) • (9x1943132160 - 10)

                  10                  

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