SOLUTION: The answer is {{{3p/2}}} I need help getting to the answer. the question is: simplify {{{((2p-2)/p)*((6p^2)/(8p*8))}}} the answer: {{{3(x-1)/16}}} isn't correct.

Algebra ->  College  -> Linear Algebra -> SOLUTION: The answer is {{{3p/2}}} I need help getting to the answer. the question is: simplify {{{((2p-2)/p)*((6p^2)/(8p*8))}}} the answer: {{{3(x-1)/16}}} isn't correct.      Log On


   

Question 243372: The answer is 3p%2F2
I need help getting to the answer.
the question is: simplify
%28%282p-2%29%2Fp%29%2A%28%286p%5E2%29%2F%288p%2A8%29%29

the answer:
3%28x-1%29%2F16
isn't correct.
Found 3 solutions by unlockmath, oberobic, edjones:
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's see if I can help you out. I tried out the way it's written and the answer is the second answer. Looking over the problem, it appears the problem was written or copied wrong. To get the answer 3p/2 the problem needs to be written as:
(2p-2)/p*6p^2/(8p-8) Notice the 8p-8 is needed not 8p*p
With this problem the answer is 3p/2
RJ Toftness
www.math-unlock.com

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
CORRECTION.
It turns out the term '8p*8' is really '8p - 8'...so that is entirely different problem than the one originally solved.
.
Simplify:
%0D%0A%28%282p-2%29%2Fp%29%2A%28%286p%5E2%29%2F%288p-8%29%29%0D%0A
.
Since you are multiplying, you can simply multiply numerator times numerator and denominator times denominator.
%0D%0A%28%282p-2%29%286p%5E2%29%29%2F%28p%2A%288p-8%29%29%0D%0A
.
%0D%0A%2812p%5E3-12p%5E2%29%2F%288p%5E2-8p%29%0D%0A
.
%0D%0A%2812p%28p%5E2-p%29%29%2F%288p%28p-1%29%29%0D%0A
.
%0D%0A%283%2A4%2Ap%28p%5E2-p%29%29%2F%282%2A4%2Ap%28p-1%29%29%0D%0A
.
Note the 4p will cancel in the numerator and denominator.
So we arrive at:
%0D%0A%283%28p%5E2-p%29%29%2F%282%28p-1%29%29%0D%0A
We can factor the numerator by extracting the common 'p'
%0D%0A%283p%28p-1%29%29%2F%282%28p-1%29%29%0D%0A
Now the (p-1) terms will cancel, leaving us with
%0D%0A3p%2F2+=+%283%2F2%29p%0D%0A

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
You have the correct answer 3%28x-1%29%2F16 for what you wrote.
If you change 8p*8 to 8p-8 the answer will be 3p/2
.
Ed