SOLUTION: can someone please, please, please help me with this problem: Perform the indicated operation. Give the answer in lowest terms. 8p - 8 / p (divided by) 10p - 10 / 6p^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can someone please, please, please help me with this problem: Perform the indicated operation. Give the answer in lowest terms. 8p - 8 / p (divided by) 10p - 10 / 6p^2      Log On


   

Question 170421This question is from textbook
: can someone please, please, please help me with this problem:
Perform the indicated operation. Give the answer in lowest terms.
8p - 8 / p (divided by) 10p - 10 / 6p^2 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%288p+-+8%29%2Fp%29%2F%28%2810p+-+10%29%2F%286p%5E2%29%29 Start with the given expression



%28%288p+-+8%29%2Fp%29%2A%28%286p%5E2%29%2F%2810p+-+10%29%29 Multiply the first fraction by the reciprocal of the second fraction.


%28%288%28p-1%29%29%2Fp%29%2A%28%286p%5E2%29%2F%2810p+-+10%29%29 Factor 8p+-+8 to get 8%28p-1%29


%28%288%28p-1%29%29%2Fp%29%2A%28%282%2A3%2Ap%2Ap%29%2F%2810p+-+10%29%29 Factor 6p%5E2 to get 2%2A3%2Ap%2Ap


%28%288%28p-1%29%29%2Fp%29%2A%28%282%2A3%2Ap%2Ap%29%2F%282%2A5%28p-1%29%29%29 Factor 10p+-+10 to get 10%28p-1%29=2%2A5%28p-1%29


%288%28p-1%29%29%282%2A3%2Ap%2Ap%29%2F%282%2A5p%28p-1%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.



%288%2A3p%29%2F%285%29 Simplify


%2824p%29%2F%285%29 Multiply



So %28%288p+-+8%29%2Fp%29%2F%28%2810p+-+10%29%2F%286p%5E2%29%29 simplifies to %2824p%29%2F%285%29


In other words, %28%288p+-+8%29%2Fp%29%2F%28%2810p+-+10%29%2F%286p%5E2%29%29=%2824p%29%2F%285%29 where p%3C%3E0 or p%3C%3E-1