SOLUTION: Consider p=(3m+5)^4a+b, q=(3m+5)^4a+b and r=(3m+5)^7b-3: Find the quotient of r divided by the product of p and q. Show the solution.

Algebra ->  Radicals -> SOLUTION: Consider p=(3m+5)^4a+b, q=(3m+5)^4a+b and r=(3m+5)^7b-3: Find the quotient of r divided by the product of p and q. Show the solution.      Log On


   

Question 1175449: Consider p=(3m+5)^4a+b, q=(3m+5)^4a+b and r=(3m+5)^7b-3:
Find the quotient of r divided by the product of p and q. Show the solution.
Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if you are given:
Consider p=%283m%2B5%29%5E%284a%2Bb%29, q=%283m%2B5%29%5E%284a%2Bb%29 and r=%283m%2B5%29%5E%287b-3%29:
then

%283m%2B5%29%5E%287b-3%29%2F%28%283m%2B5%29%5E%284a%2Bb%29%2A%283m%2B5%29%5E%284a%2Bb%29+%29....note, base is same

%283m%2B5%29%5E%287b-3%29%2F%28%283m%2B5%29%5E%284a%2Bb%2B4a%2Bb%29+%29

%283m%2B5%29%5E%287b-3%29%2F%28%283m%2B5%29%5E%288a%2B2b%29+%29

%283m%2B5%29%5E%287b-3-%288a%2B2b%29+%29

%283m%2B5%29%5E%287b-3-8a-2b%29

%283m%2B5%29%5E%28-8a%2B5b-3%29


Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If you meant it as she took it, you should have placed parentheses around
the exponents.  I didn't know you meant that if you did.  You should
have written this:

Consider p=(3m+5)^(4a+b), q=(3m+5)^(4a+b) and r=(3m+5)^(7b-3):

Edwin