Find solutions to your problems with the expert advice available on IDNLearn.com. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

how do i solve [(10x + 9)  ⁄ (x2 − 4)] −  [(3) ⁄ (x − 2)] in simplest form



Sagot :

You can not solve it as there is no equation to solve however to write this in its simplest form you need to have a common denominator of the fractions.
We can see that x²-4 could be written as (x-2)(x+2) and therefore know we have to multiply the second part of the expression by (x+2)/(x+2) to get (x²-4) on the bottom.
Now we have:
(10x+9)/(x²-4)-(3(x+2))/(x²-4)
This can also be written as:
((10x+9)-3(x+2))/(x²-4)
Now we can expand and simplify to get:
(7x+3)/(x²-4)
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.