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Find LCD for each list of rational expressions. 2x/3x^2 + 4X +1 , 7/2x^2 - x - 1 I solved 2x/3x^2 + 4X +1 all fine. 3x(x+1) + 1(x+1) (3x+1)(x+1) I get stuck on 7/2x^2 - x - 1
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how can you say that \[\frac{ 2x }{ 3x ^{2} }+4x+1=(3x+1)(x+1)\]
we are ignoring the numerator in this problem
I think it's \[\frac{ 2x }{ 3x ^{2}+4x+1 }\]
3x2+4x+1 = 3x^2 + 3x +x +1 3x(x+1) +1(x+1) (3x+1)(x-1)
\[2x ^{2}-x-1\] \[=2x ^{2}-2x+x-1\] =2x(x-1)+1(x-1) =(2x+1)(x-1)
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see this is where i am confused
sorry! i ment 7/2x^2 - 2x - 1
for the original equation
wait
your right
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i was reading problem wrong
\[\frac{ 7 }{ 2x ^{2}-x+1 }=\frac{ 7 }{ (2x+1)(x-1) }\]
I think you got it...!
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