SOLUTION: I have to perform the operation of: <pre> k^2+3k-10 3 _________ x ________ 36 k^2-4 </pre> I tried to look for simplification by factoring out the first

Algebra.Com
Question 203062: I have to perform the operation of: 

k^2+3k-10      3
_________ x ________
    36       k^2-4

I tried to look for simplification by factoring out the first numerator to (k+5)(k-2). But I don't see how I can factor out a (k-2) from the second denominator because there's no k value in the expression. However, the choices for answers indicate that it is cancelled out somehow. Where do I go from here?
Found 2 solutions by Earlsdon, jim_thompson5910:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
It would help if you were to use paretheses to clarify the problem, eg:
((k^2+3k-10)/(36))*(3/(k^2-4)) I hope I've got this right!
Factor the first numerator and denominator and factor the second denominator.
Cancel the common factors as shown to leave you with:
or
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Factor the first numerator


Factor the first denominator


Factor the second denominator (hint: use the difference of squares formula)


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify


Distribute



So simplifies to


In other words,
RELATED QUESTIONS

Could you plese help me perform the indicated operations? I think I'm starting with the... (answered by KMST)
Help please with these 2 problems. I have to add or subtract. Thanks in advance.... (answered by piglet162431)
I am supposed to find k in the following quadratic equation: (k+3)x^2 + 2kx + 4 = 0. (answered by jim_thompson5910,edjones)
3 (k - 4) = -36 If I understand the rule right I am suppose to 3k + 12 = -36 3k = 15 (answered by stanbon)
Could anyone help on this question i asked some time back but still i haven't got no... (answered by richard1234)
Hi there, I'm being asked to evaluate the following: {{{(-1)^(k+1)*k}}} for the sums... (answered by Alan3354)
Given functions f and g , perform the indicated operation.

f(x)·g(x)

f(x)=9x-2
 (answered by Edwin McCravy)

f(x) = x^3 + (1 - k^2)x + k

(a) Show that -k is a root of f.
I've already solved this  (answered by jsmallt9)

(k-3)/(k-2)-(k-4)/(k-1)=(3k+2)/(k^2-3k+2) (answered by Fombitz)