Perform the following operation and express in simplest form. (x^(2)-81)/(x^(2)-x-72)*(4x+32)/(x+9) Answer:

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Perform the following operation and express in simplest form.  (x^(2)-81)/(x^(2)-x-72)*(4x+32)/(x+9) Answer:

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Factor Numerator and Denominator: Factor the numerator and the denominator of the first fraction. The numerator x^2 - 81 is a difference of squares and can be factored as (x + 9)(x - 9). The denominator x^2 - x - 72 can be factored by finding two numbers that multiply to -72 and add to -1. These numbers are -9 and 8, so the denominator factors as (x - 9)(x + 8).Factor Second Fraction: Factor the numerator of the second fraction. The numerator 4x + 32 can be factored by taking out the common factor of 4, resulting in 4(x + 8). The denominator x + 9 remains the same.Write Factored Expression: Write the expression with the factored terms. The expression now looks like this: ((x + 9)(x - 9))/(x - 9)(x + 8)) * (4(x + 8))/(x + 9)Cancel Common Factors: Cancel out the common factors. The (x - 9) terms cancel out from the numerator and denominator of the first fraction. The (x + 8) terms cancel out from the denominator of the first fraction and the numerator of the second fraction. The (x + 9) terms cancel out from the numerator of the first fraction and the denominator of the second fraction.Multiply After Cancellation: Multiply what's left after cancellation. After cancellation, we are left with: 1 * 4 = 4Write Final Expression: Write the final simplified expression. The final simplified expression is just 4, as all the variable terms have been cancelled out.

Perform the following operation and express in simplest form. $\newline$ $\frac{x^{2}-81}{x^{2}-x-72} \cdot \frac{4 x+32}{x+9}$ $\newline$ Answer:

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Perform the following operation and express in simplest form.\newlinex2−81x2−x−72⋅4x+32x+9 \frac{x^{2}-81}{x^{2}-x-72} \cdot \frac{4 x+32}{x+9} x2−x−72x2−81​⋅x+94x+32​\newlineAnswer:

Perform the following operation and express in simplest form. $\newline$ $\frac{x^{2}-81}{x^{2}-x-72} \cdot \frac{4 x+32}{x+9}$ $\newline$ Answer: