SOLUTION: I have a complex fraction and I do not think I am simplifying right, please help me.
-(4)/(x-1)+(2-2x)/x
I get -2(x^2+1)/(x-1)x
I do not think my answer is simplified as low a
Algebra.Com
Question 294009: I have a complex fraction and I do not think I am simplifying right, please help me.
-(4)/(x-1)+(2-2x)/x
I get -2(x^2+1)/(x-1)x
I do not think my answer is simplified as low as possible?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
-(4)/(x-1)+(2-2x)/x
---
lcd: x(x-1)
---
Rewrite each fraction with the lcd as its denominator:
(-4x)/lcd + [2(1-x))(x-1)]/lcd
----
Combine the numerators over the lcd:
[-4x -2(x-1)^2]/lcd
---
[-4x -2(x^2-2x+1)]/lcd
----
[-4x -2x^2+4x-2]/lcd
----
[-2x^2-2]/lcd
----
[-2(x^2+1)]/[x(x-1)]
=========================
Cheers,
Stan H.
=========================
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