Anyone want to please help?:)
After \[\frac{ x+1 }{ 3 }-\frac{ x+2 }{ 2x }\] have been combined using the Least Common Denominator of 6x, what is the numerator?
Answer choices: a. 2x2 - x + 2 b. -2x2 - x + 3 c. 2x2 - x - 6 d. -x2 + x + 3
how can you make appear 6x in the denominator?
Multiply it.
I tried working the problem out but the answer I got is different from the answer choices
nice ..so what is the numbers you need to multiply both of those 2?
with what should you multiply each of those 2 fractions?
This is what I did: \[2x(x+2) - 3(x+1)\] \[2x ^{2}+4x-3x-3\] \[2x ^{2}+x-3\]
hmm lets start from the 1st (left fraction) ...what you need to multiply it with so that 6x appears in the denominator?
2x and 3 but wouldn't that give me -6?
2x(x+1)-3(x+2) right?
you wrote 2x(x+2) - 3(x+1) i dont know why
I wrote it like that because I figured that was it's place because the original equation is \[\frac{ x+1 }{ 3 }-\frac{ x+2 }{ 2x }\]
if you multiply the left fraction by 2x what do you take for the left fraction?
sorry multiply by 2x/2x
\[4x ^{2}\]
no i mean \[\frac{ 2x }{ 2x }\]
oh sorry!! 1
no multiply \[\frac{ 2x }{ 2x }\] with\[\frac{ x+1 }{ 3 }\]what do you take?
\[\frac{ 2 }{ 2 }* \frac{ x+1 }{ 3 } ............. \frac{ 2x+2 }{ 6 }\]
\[\frac{ 2x(x+1) }{ 2x*3}\]
you need to have 6x in the denominator
Oh true true I didn't plug in the x in there
nice that you understood that :p now make the same with the second fraction on the right... multiply that with \[\frac{ 3 }{ 3}\]
\[\frac{ 3 }{ 3 }* \frac{ x+2 }{ 2x }....\frac{ 3x+6 }{ 6x }\]
now what do we have for the 2 fractions?
\[\frac{ 3x+6 }{ 6x } ? \frac{ 2x+2 }{ 6x }\]
would it be minus?
you put the second fraction on the left side and the first on the left..why you reversed them?
put the fraction we found first minus the fraction we found second
can i ask where are u stuck?
\[\frac{ 2x ^{2}+2x }{ 6x }-\frac{ 3x+6 }{ 6x }= 2x ^{2}-x+6 \]
Or would it be -6?
its -(3x+6) so it would be -6
I see!! Damn Thanks!!!
you understood the procedure?:p
Yes, wow thanks a lot!!:)
nice,np at all
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