Add. The numerator should be expanded and simplified. The denominator should be either expanded or factored. (1)/(7x^(2)-7x)+(6)/(7x^(2)+14 x)=

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Add. The numerator should be expanded and simplified. The denominator should be either expanded or factored.  (1)/(7x^(2)-7x)+(6)/(7x^(2)+14 x)=

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Identify common denominator: Identify the common denominator for the two fractions. The denominators are 7x^2 - 7x and 7x^2 + 14x. To combine the fractions, we need a common denominator. We can factor out a 7x from both denominators to simplify the process. 7x^2 - 7x = 7x(x - 1) 7x^2 + 14x = 7x(x + 2) The common denominator will be 7x(x - 1)(x + 2).Rewrite fractions with common denominator: Rewrite each fraction with the common denominator. We need to adjust each fraction so that they both have the common denominator of 7x(x - 1)(x + 2). For the first fraction: (1)/(7x^2 - 7x) = (1)/(7x(x - 1)) = (x + 2)/(7x(x - 1)(x + 2)) For the second fraction: (6)/(7x^2 + 14x) = (6)/(7x(x + 2)) = (x - 1)/(7x(x - 1)(x + 2))Add fractions with common denominator: Add the two fractions with the common denominator. Now that both fractions have the same denominator, we can add the numerators: (x + 2)/(7x(x - 1)(x + 2)) + (x - 1)/(7x(x - 1)(x + 2)) = (x + 2 + x - 1)/(7x(x - 1)(x + 2))Simplify numerator: Simplify the numerator. Combine like terms in the numerator: (x + 2 + x - 1) = 2x + 1 So the combined fraction is: (2x + 1)/(7x(x - 1)(x + 2))Check for further simplification: Check for any further simplification. The numerator 2x + 1 and the denominator 7x(x - 1)(x + 2) do not have any common factors, so the fraction is already in its simplest form.

Add. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{1}{7 x^{2}-7 x}+\frac{6}{7 x^{2}+14 x}=$

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Add.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline17x2−7x+67x2+14x= \frac{1}{7 x^{2}-7 x}+\frac{6}{7 x^{2}+14 x}= 7x2−7x1​+7x2+14x6​=

Add. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{1}{7 x^{2}-7 x}+\frac{6}{7 x^{2}+14 x}=$