SOLUTION: Please help, and show work I really want to learn how to do this correctly. Thank You. I need to factor this out p^2 + 4p -5 / p-1 p^2 + 7p + 10 / p+4

Algebra ->  Rational-functions -> SOLUTION: Please help, and show work I really want to learn how to do this correctly. Thank You. I need to factor this out p^2 + 4p -5 / p-1 p^2 + 7p + 10 / p+4      Log On


   

Question 163741This question is from textbook Biginning Algebra
: Please help, and show work I really want to learn how to do this correctly. Thank You. I need to factor this out

p^2 + 4p -5 / p-1
p^2 + 7p + 10 / p+4 This question is from textbook Biginning Algebra

Found 2 solutions by ankor@dixie-net.com, gonzo:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28p%5E2+%2B+4p+-5%29%2F%28p-1%29
Look closely at the numerator, notice you can factor that to
%28%28p%2B5%29%28p-1%29%29%2F%28p-1%29
now you can see the (p-1)'s cancel leaving
(p + 5)
:
:
%28p%5E2+%2B+7p+%2B+10%29%2F%28p%2B4%29
We can factor the numerator here too, but is not much help
%28%28p%2B2%29%28p%2B5%29%29%2F%28p%2B4%29
:
:
It occurs to me that this may be all one problem,
then invert the dividing fraction and multiply:
(p+5) * %28%28p%2B4%29%29%2F%28%28p%2B2%29%28p%2B5%29%29
Cancel (p+5)'s and you have
%28p%2B4%29%2F%28p%2B2%29

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
i can do your first equation easy enough.
-----
(p^2 + 4p - 5)/(p-1)
you have to get the factors of the numerator.
usually one of those factors is equal to the denominator and they cancel out.
in this case that works out fine.
the factors of the numerator are (p+5)*(p-1)
substituting in the equation, we get
((p+5)*(p-1))/(p-1)
the p-1 cancels out and the equation becomes
p+5.
that's the answer for the first equation.
-----
second equation can be solved as well but i don't see any common factors that can be canceled out.
equation is
(p^2 + 7p + 10) / (p+4)
factors for the numerator are (p+2)*(p+5)
equation becomes
((p+2)*(p+5))/(p+4)
i can't see where it can be simplified further than that.