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Title: When simplifying the expression (2/x)+(2/x-1)+(2/x+2) . The denominator is x(x+1 Post by: gohar90211 on Jun 4, 2012 When simplifying the expression (2/x)+(2/x-1)+(2/x+2) . The denominator is x(x+1)(x–1), what is the numerator?
6x^2 + 9x – 4 6x^2 + 8x + 4 6x^2 + 9x + 4 6x^2 + 4x – 4 Title: Re: When simplifying the expression (2/x)+(2/x-1)+(2/x+2) . The denominator is x(x+1 Post by: Bio_World100 on Jun 7, 2012 The denominator should be x(x - 1)(x + 2). There is no 'x + 1' in any of the denominators in the expression, so it cannot be in the LCD (lowest common denominator).
[2(x - 1)(x + 2) + 2(x)(x + 2) + 2(x)(x - 1)] / x(x - 1)(x + 2) [2(x^2 + x - 2) + 2(x^2 + 2x) + 2(x^2 - 2x)] / x(x - 1)(x + 2) (2x^2 + 2x - 4 + 2x^2 + 4x + 2x^2 -2x) / x(x - 1)(x + 2) Now, grouping like terms: (2x^2 + 2x^2 + 2x^2 + 2x + 4x -2x - 4) / x(x - 1)(x + 2) (6x^2 + 4x - 4) / x(x - 1)(x + 2) So, the answer is D. Hope this helps! :D |