QuestionJuly 14, 2025

Subtract the rational expressions. (9x+6)/(x^2)-7x-8-(8x+14)/(x^2)-7x-8 (9x+6)/(x^2)-7x-8-(8x+14)/(x^2)-7x-8= square (Simplify your answer.)

Subtract the rational expressions. (9x+6)/(x^2)-7x-8-(8x+14)/(x^2)-7x-8 (9x+6)/(x^2)-7x-8-(8x+14)/(x^2)-7x-8= square (Simplify your answer.)
Subtract the rational expressions.
(9x+6)/(x^2)-7x-8-(8x+14)/(x^2)-7x-8
(9x+6)/(x^2)-7x-8-(8x+14)/(x^2)-7x-8= square  (Simplify your answer.)

Solution
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Answer

\frac{x - 8}{x^2 - 7x - 8} Explanation 1. Identify Common Denominator Both expressions have the same denominator x^2 - 7x - 8. 2. Subtract Numerators Subtract the numerators directly: (9x + 6) - (8x + 14). 3. Simplify the Resulting Expression Simplify: 9x + 6 - 8x - 14 = x - 8. 4. Write Final Expression Combine the simplified numerator with the common denominator.

Explanation

1. Identify Common Denominator<br /> Both expressions have the same denominator $x^2 - 7x - 8$.<br /><br />2. Subtract Numerators<br /> Subtract the numerators directly: $(9x + 6) - (8x + 14)$.<br /><br />3. Simplify the Resulting Expression<br /> Simplify: $9x + 6 - 8x - 14 = x - 8$.<br /><br />4. Write Final Expression<br /> Combine the simplified numerator with the common denominator.
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