Perform the following operation and express in simplest form. (x+6)/(x-9)÷(x^(2)-3x-54)/(x^(2)-18 x+81) Answer:

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Perform the following operation and express in simplest form.  (x+6)/(x-9)÷(x^(2)-3x-54)/(x^(2)-18 x+81) Answer:

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Identify Given Expression: Identify the given expression and rewrite the division as multiplication by the reciprocal of the second fraction. The expression is (x+6)/(x-9) ÷ (x^2-3x-54)/(x^2-18x+81), which can be rewritten as (x+6)/(x-9) * (x^2-18x+81)/(x^2-3x-54).Factor Second Fraction: Factor both the numerator and the denominator of the second fraction. The numerator x^2-18x+81 can be factored as (x-9)(x-9) or (x-9)^2. The denominator x^2-3x-54 can be factored as (x-9)(x+6).Rewrite with Factored Terms: Rewrite the expression with the factored terms. The expression now looks like (x+6)/(x-9) * ((x-9)(x-9))/((x-9)(x+6)).Cancel Common Terms: Cancel out the common terms in the numerator and the denominator. The (x+6) terms cancel each other out, and one of the (x-9) terms cancels out, leaving us with 1/(x-9) * (x-9).Simplify Remaining Expression: Simplify the remaining expression. After canceling out, the expression simplifies to 1, since 1/(x-9) * (x-9) = 1.

Perform the following operation and express in simplest form. $\newline$ $\frac{x+6}{x-9} \div \frac{x^{2}-3 x-54}{x^{2}-18 x+81}$ $\newline$ Answer:

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Perform the following operation and express in simplest form.\newlinex+6x−9÷x2−3x−54x2−18x+81 \frac{x+6}{x-9} \div \frac{x^{2}-3 x-54}{x^{2}-18 x+81} x−9x+6​÷x2−18x+81x2−3x−54​\newlineAnswer:

Perform the following operation and express in simplest form. $\newline$ $\frac{x+6}{x-9} \div \frac{x^{2}-3 x-54}{x^{2}-18 x+81}$ $\newline$ Answer: