SOLUTION: <pre><b>Multiply -3a<sup>2</sup>b 14a<sup>3</sup>b<sup>2</sup> ———————— × ———————— 35a<sup>5</sup> -9b<sup>4</sup></pre>

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: <pre><b>Multiply -3a<sup>2</sup>b 14a<sup>3</sup>b<sup>2</sup> ———————— × ———————— 35a<sup>5</sup> -9b<sup>4</sup></pre>      Log On


   

Question 40957: 
Multiply 

         -3a2b      14a3b2
        ———————— × ————————
          35a5      -9b4
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply 

         -3a2b      14a3b2
        ———————— × ————————
          35a5      -9b4

The long way but sure way:

Write a2 as aa
Write 14 as 2·7
Write a3 as aaa
Write b2 as bb
Write 35 as 5·7
Write a5 as aaaaa
Write 9 as 3·3
Write b4 as bbbb

        -3aab      2·7aaabb
      —————————— × —————————
       5·7aaaaa    -3·3bbbb

Indicate the multiplication of numerators and 
denominators

        -3aab·2·7aaabb
      ————————————————————
       5·7aaaaa(-3)·3bbbb

Cancel the -3's

        -3aab·2·7aaabb
      ————————————————————
       5·7aaaaa(-3)·3bbbb  

            aab·2·7aaabb
          ————————————————
           5·7aaaaa·3bbbb
                     
Cancel the 7's

            aab·2·7aaabb
         ———————————————
            5·7aaaaa·3bbbb

            aab·2aaabb
           ————————————
            5aaaaa·3bbbb

Cancel the 5 a's in the top into the 5 a's 
in the bottom:

            aab·2aaabb
           ————————————
            5aaaaa·3bbbb

             b·2bb
           ————————
             5·3bbbb

Cancel the three b's in the top into three of 
the b's in the bottom


             b·2bb
           ————————
             5·3bbbb

                   2
                ——————
                 5·3b

Write 5·3 as 15

                   2
                 —————
                  15b

Edwin
AnlytcPhil@aol.com