QuestionAugust 24, 2025

Subtract. State the difference in simplest form. (x^2)/(x-6)-(36)/(x-6) xneq 6 x+6 (x-6)/(2) (x+6)/(2) x-6

Subtract. State the difference in simplest form. (x^2)/(x-6)-(36)/(x-6) xneq 6 x+6 (x-6)/(2) (x+6)/(2) x-6
Subtract. State the difference in simplest form. (x^2)/(x-6)-(36)/(x-6) xneq 6 x+6 (x-6)/(2) (x+6)/(2) x-6

Solution
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Answer

x+6 Explanation 1. Identify Common Denominator Both fractions have the same denominator x-6. 2. Subtract Numerators Subtract the numerators: x^2 - 36. 3. Simplify the Expression Factor the numerator: x^2 - 36 = (x+6)(x-6). 4. Cancel Common Factors Cancel (x-6) from numerator and denominator.

Explanation

1. Identify Common Denominator<br /> Both fractions have the same denominator $x-6$.<br /><br />2. Subtract Numerators<br /> Subtract the numerators: $x^2 - 36$.<br /><br />3. Simplify the Expression<br /> Factor the numerator: $x^2 - 36 = (x+6)(x-6)$.<br /><br />4. Cancel Common Factors<br /> Cancel $(x-6)$ from numerator and denominator.
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