Subtract. The numerator should be expanded and simplified. The denominator should be either expanded or factored. (4)/(x-1)-(9)/(x-7)=

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Subtract. The numerator should be expanded and simplified. The denominator should be either expanded or factored.  (4)/(x-1)-(9)/(x-7)=

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Identify Common Denominator: Identify the common denominator for the two fractions. In order to subtract the fractions, we need a common denominator. The common denominator for (x-1) and (x-7) is the product of the two, which is (x-1)(x-7).Rewrite with Common Denominator: Rewrite each fraction with the common denominator. We need to adjust each fraction so that they both have the common denominator (x-1)(x-7). This means multiplying the numerator and denominator of each fraction by the missing factor. For the first fraction, (4)/(x-1), we multiply the numerator and denominator by (x-7). For the second fraction, (9)/(x-7), we multiply the numerator and denominator by (x-1).Perform Multiplication: Perform the multiplication for each fraction. Now we multiply the numerators and denominators as planned in Step 2. (4)/(x-1) becomes (4*(x-7))/((x-1)*(x-7)) = (4x - 28)/((x-1)*(x-7)) (9)/(x-7) becomes (9*(x-1))/((x-7)*(x-1)) = (9x - 9)/((x-7)*(x-1))Subtract Fractions: Subtract the two fractions. Now that both fractions have the same denominator, we can subtract the numerators and keep the common denominator. ((4x - 28) - (9x - 9))/((x-1)*(x-7))Expand and Simplify: Expand and simplify the numerator. We need to distribute the subtraction across the numerators. (4x - 28) - (9x - 9) = 4x - 28 - 9x + 9 Now combine like terms. 4x - 9x = -5x -28 + 9 = -19 So the simplified numerator is -5x - 19.Write Final Expression: Write the final simplified expression. The final simplified expression is (-5x - 19)/((x-1)*(x-7)).

Subtract. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{4}{x-1}-\frac{9}{x-7}=$

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Subtract.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline4x−1−9x−7= \frac{4}{x-1}-\frac{9}{x-7}= x−14​−x−79​=

Subtract. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{4}{x-1}-\frac{9}{x-7}=$