ltiply the rational expression and express the product in simplest form. c² +6c-55 2 16c+55 c²122c121 c2 10c+25 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Multiply the rational expression and express the product in simplest form.

\[
\frac{c^2 + 6c - 55}{c^2 + 22c + 121} \cdot \frac{c^2 - 16c + 55}{c^2 - 10c + 25}
\]

Enclose numerators and denominators in parentheses. For example, \( \frac{(a - b)}{(1 + n)} \).

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Transcribed Image Text:Multiply the rational expression and express the product in simplest form. \[ \frac{c^2 + 6c - 55}{c^2 + 22c + 121} \cdot \frac{c^2 - 16c + 55}{c^2 - 10c + 25} \] Enclose numerators and denominators in parentheses. For example, \( \frac{(a - b)}{(1 + n)} \). [Input Box] [Submit Assignment] [Quit & Save] [Back]
Expert Solution
Step 1

We use the formulas (a+b)^2= a^2+2ab+b^2 and basic factorization formulas to factor out the expressions. The details are given in step 2.

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