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Add.
The numerator should be expanded and simplified. The denominator should be either expanded or factored.

(6)/(x-5)+(1)/(x-2)=

Add.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline6x5+1x2= \frac{6}{x-5}+\frac{1}{x-2}=

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Q. Add.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline6x5+1x2= \frac{6}{x-5}+\frac{1}{x-2}=
  1. Identify Common Denominator: Identify the common denominator for the fractions (6x5)(\frac{6}{x-5}) and (1x2)(\frac{1}{x-2}). To add fractions, we need a common denominator. The common denominator will be the product of the two distinct denominators (x5)(x-5) and (x2)(x-2). Common Denominator: (x5)(x2)(x-5)(x-2)
  2. Rewrite with Common Denominator: Rewrite each fraction with the common denominator.\newlineWe need to adjust the numerators to reflect the new common denominator.\newline6x5\frac{6}{x-5} becomes 6(x2)(x5)(x2)\frac{6(x-2)}{(x-5)(x-2)}\newline1x2\frac{1}{x-2} becomes 1(x5)(x5)(x2)\frac{1(x-5)}{(x-5)(x-2)}
  3. Expand Numerators: Expand the numerators of both fractions.\newlineNow we expand the numerators to simplify the expression.\newline(6)(x2)=6x12(6)(x-2) = 6x - 12\newline(1)(x5)=x5(1)(x-5) = x - 5
  4. Add Expanded Numerators: Add the expanded numerators together.\newlineNow we add the two expanded numerators while keeping the common denominator.\newline(6x12)+(x5)=7x17(6x - 12) + (x - 5) = 7x - 17
  5. Write as Single Fraction: Write the sum as a single fraction.\newlineThe sum of the two fractions with the common denominator is:\newline(7x17)/((x5)(x2))(7x - 17)/((x-5)(x-2))

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