Subtract. The numerator should be expanded and simplified. The denominator should be either expanded or factored. (7)/(2x^(2)+18 x)-(5x)/(x^(2)+17 x+72)=

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Subtract. The numerator should be expanded and simplified. The denominator should be either expanded or factored.  (7)/(2x^(2)+18 x)-(5x)/(x^(2)+17 x+72)=

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Identify common denominator: Identify the common denominator for the two fractions. The denominators are 2x^2 + 18x and x^2 + 17x + 72. To combine the fractions, we need a common denominator. The common denominator will be the least common multiple (LCM) of the two denominators.Factor denominators: Factor the denominators if possible. The first denominator, 2x^2 + 18x, can be factored by taking out the common factor of 2x, which gives us 2x(x + 9). The second denominator, x^2 + 17x + 72, can be factored into (x + 8)(x + 9).Determine LCM of factored denominators: Determine the LCM of the two factored denominators. The LCM of 2x(x + 9) and (x + 8)(x + 9) is 2x(x + 8)(x + 9), since (x + 9) is common in both and we need to include all other distinct factors.Rewrite fractions with common denominator: Rewrite each fraction with the common denominator. The first fraction becomes (7)/(2x(x + 9)) and the second fraction becomes (5x)/((x + 8)(x + 9)). To have the same denominator, we multiply the numerator and denominator of the first fraction by (x + 8) and the numerator and denominator of the second fraction by 2x.Multiply numerators by appropriate factors: Multiply the numerators by the appropriate factors. For the first fraction, we have (7 * (x + 8))/(2x(x + 8)(x + 9)). For the second fraction, we have (5x * 2x)/(2x(x + 8)(x + 9)).Expand numerators: Expand the numerators. For the first fraction, we have (7x + 56)/(2x(x + 8)(x + 9)). For the second fraction, we have (10x^2)/(2x(x + 8)(x + 9)).Subtract second fraction from first fraction: Subtract the second fraction from the first fraction. Now we have ((7x + 56) - (10x^2))/(2x(x + 8)(x + 9)).Combine numerators: Combine the numerators. We get (7x + 56 - 10x^2)/(2x(x + 8)(x + 9)).Simplify numerator: Simplify the numerator. We have (-10x^2 + 7x + 56)/(2x(x + 8)(x + 9)).Check for possible simplification or factoring: Check for any possible simplification or factoring. The numerator is a quadratic expression and does not factor further in relation to the denominator. Therefore, this is the final simplified form of the expression.

Subtract. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{7}{2 x^{2}+18 x}-\frac{5 x}{x^{2}+17 x+72}=$

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Subtract.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline72x2+18x−5xx2+17x+72= \frac{7}{2 x^{2}+18 x}-\frac{5 x}{x^{2}+17 x+72}= 2x2+18x7​−x2+17x+725x​=

Subtract. $\newline$ The numerator should be expanded and simplified. The denominator should be either expanded or factored. $\newline$ $\frac{7}{2 x^{2}+18 x}-\frac{5 x}{x^{2}+17 x+72}=$