anonymous
  • anonymous
combine as indicated by the sign : (x+2)/(x+4) - (x-1)/(x+6)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Any problems? Hint: Common denominator
anonymous
  • anonymous
(x+2)/(x+4) - (x-1)/(x+6) 1- conman denominator (x+6)(x+4) [(x+2)(x+6)-(x-1)(x+4)]/[x+6)(x+4)
anonymous
  • anonymous
what? the answer has a few given sections such as __x______/___6____4_

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anonymous
  • anonymous
@Lyralei I have no clue how to do this at all, any help will do please.
anonymous
  • anonymous
\[\frac{x+2}{x+4}-\frac{x-1}{x+6}\] Whenever you want to mix a fraction, you should multiply by each other's denominator, as such: \[\frac{(x+2)(x+6)}{(x+4)(x+6)}-\frac{(x-1)(x+4)}{(x+6)(x+4)}\]
anonymous
  • anonymous
\[\frac{x^2+8+12}{x^2+10+24}-\frac{x^2+3x-4}{x^2+10x+24}\] Notice that you could combine the fractions together now because the denominators are the same.
anonymous
  • anonymous
\[=\frac{(x^2+8x+12)-(x^2+3x-4)}{x^2+10+24}\] \[=\frac{5x+16}{x^2+10+24}\]
anonymous
  • anonymous
@Agreenleaf
anonymous
  • anonymous
that is the same answer i got, but it doesnt fit with the parts of the answer that were given to me.
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
ok that picture didnt work. but i was given ___x______ / ___6____4_ where the lines are blank spots i need to fill out @Lyralei
anonymous
  • anonymous
I know what it is, you'll have to fill out the blanks, we have the numerator 5x+16, but the 6 and 4 in the denominator is actually in factorised form.
anonymous
  • anonymous
Like this \[\frac{5 x+16}{(x+4) (x+6)}\]
anonymous
  • anonymous
omg that helps haha, thanks!
anonymous
  • anonymous
No problem!

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