SOLUTION: Is this problem supposed to be reduced down {{{(5x+10)/(6x^2+24x+30)}}},,, Does that reduce to {{{(5x+1)/(6x^2+24x+3)}}}

Algebra.Com
Question 271470: Is this problem supposed to be reduced down
,,, Does that reduce to

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

No it doesn't!

Here's what you did, and it's a no-no!


           

You cannot cancel something that is ADDED in the numerator
into anything in the denominator, and you cannot cancel
anything in the denominator that is ADDED into anything 
in the numerator.  The only time you can cancel something
in the numerator into something in the denominator is 
when they are only MULTIPLIED

You might try factoring the numerator and denominator first:



Take 5 out of the numerator, and 6 
out of the denominator:



But what's in the parentheses will not factor.  That's
as far as you can go.

Edwin

RELATED QUESTIONS

I am stuck on this problem. I have to simplify this equation problem.... (answered by checkley71)
I’m supposed to solve the below expression for X, but I can’t figure out what I’m doing... (answered by jim_thompson5910)
6x^2+24x-72 how to solve... (answered by ewatrrr)
Which is equal to 1 ___ +3 8x ________ 1-2/x A. 16+8x/6x-3 B.... (answered by ewatrrr)
I need help to fully factor this problem: 3 * (2x-1)^2 * (2) * (x+3)^1/2 + (2x-1)^3 *... (answered by funmath)
6x^(3)+24x^(2)+6x-36 (answered by Fombitz)
Factor... (answered by Edwin McCravy)
what is the solution to(12x^(2)-6x)/(24x) (answered by jsmallt9)
Factor the following expression completely: {{{12x^3-18x^2+24x}}}. I have gotten to... (answered by Edwin McCravy)