Factor the polynomial. 8162 - 16c2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The task is to factor the polynomial:
\[ 81b^2 - 16c^2 \]
This expression is a difference of squares and can be factored using the formula:
\[ a^2 - b^2 = (a + b)(a - b) \]
In this case, \( a = 9b \) and \( b = 4c \).
Thus, the polynomial can be factored as:
\[ (9b + 4c)(9b - 4c) \]
The interface includes a text input box for students to enter their answer. There are also submission options available such as "Submit Assignment" and "Quit".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0caa6687-4e6f-4c6c-bc0f-3d83b65e20e1%2F928dd10d-0461-4ec3-82a0-77ba528d207f%2Fo511zv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The task is to factor the polynomial:
\[ 81b^2 - 16c^2 \]
This expression is a difference of squares and can be factored using the formula:
\[ a^2 - b^2 = (a + b)(a - b) \]
In this case, \( a = 9b \) and \( b = 4c \).
Thus, the polynomial can be factored as:
\[ (9b + 4c)(9b - 4c) \]
The interface includes a text input box for students to enter their answer. There are also submission options available such as "Submit Assignment" and "Quit".
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