anonymous
  • anonymous
What is the simplified form of the quantity of x plus 9, all over the quantity of 2x plus 3 + the quantity of x plus 4, all over the quantity of x plus 2?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1438784510372:dw|
DanJS
  • DanJS
to combine those, multiply both of them by a ratio of the common denominator, (2x + 3)(x+2)
anonymous
  • anonymous
... im confused

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

DanJS
  • DanJS
|dw:1438785227000:dw|
DanJS
  • DanJS
THe common denominator is (2x+3)(x+3), Just multiplied the original expression by 1, the common denominator over itself
anonymous
  • anonymous
What does that do to add them together?
DanJS
  • DanJS
When you multiply that out, both will be over the same denominator, so you can add them together
DanJS
  • DanJS
\[\frac{ (x+9)(x+2) }{ (2x+3)(x+2) }+\frac{ (x+4)(2x+3) }{ (2x+3)(x+2) }\]
anonymous
  • anonymous
okay, so when you have the same denominator you just add the numerators together,correct?
DanJS
  • DanJS
right, you need the same denominators
anonymous
  • anonymous
will the denominator for this one be 2x^2+7x+6?
DanJS
  • DanJS
yes, but i would leave that as it is before
DanJS
  • DanJS
\[\frac{ (x+9)(x+2)+(x+4)(2x+3) }{ (2x+3)(x+2) }\]
anonymous
  • anonymous
the answer choice has it out how i wrote it
DanJS
  • DanJS
oh k, yeah you can try expanding everything out and combining like terms in the numerator too.
anonymous
  • anonymous
would the numerator be 2x+13?
DanJS
  • DanJS
Reason i said leave the denominator, sometimes the numerator will give a factor that will cancel
DanJS
  • DanJS
the numerator goes to \[x^2+11x+18+2x^2+3x+8x+12\] then just combine
DanJS
  • DanJS
\[\frac{ 3x^2+22x+30 }{ (2x+3)(x+2) }\]
anonymous
  • anonymous
thank you!
DanJS
  • DanJS
you get how to do those probs now?
DanJS
  • DanJS
welcome
anonymous
  • anonymous
yes, one question though.. If this were subtraction how would it change what you did?
DanJS
  • DanJS
\[\frac{ (x+9)(x+2)-(x+4)(2x+3) }{ (2x+3)(x+2) }\] it would change the sign on all the terms that are expanded (-1)(x+4)(2x+3)
DanJS
  • DanJS
- (2x^2 +11x + 12) -2x^2 - 11x - 12
anonymous
  • anonymous
it wouldn't change what you did to the denominator?
DanJS
  • DanJS
nope, same thing
anonymous
  • anonymous
okay, thank you !

Looking for something else?

Not the answer you are looking for? Search for more explanations.