Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4dca08d-d7c1-4511-81d7-e3b17171b463%2F72627f5e-4d79-4ac1-8667-14e74de9d1ad%2Fxflz83.jpeg&w=3840&q=75)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
To completely factorize the mathematical expressions given below:
![Part a) 5m2180n2
Part b) y81](https://content.bartleby.com/qna-images/answer/b4dca08d-d7c1-4511-81d7-e3b17171b463/e1e70dc5-de66-413a-9745-df08efebc3da/z9hf2ps.png)
Step 2
Recall the algebraic identity given below:
![(x-a)(x+a)x-a](https://content.bartleby.com/qna-images/answer/b4dca08d-d7c1-4511-81d7-e3b17171b463/e1e70dc5-de66-413a-9745-df08efebc3da/vb9336o.png)
Step 3
Part a)
Consider the expression 5m2 – 180n2.
The GCF of the coefficients 5 and 180 is 5.
Hence, factorize the expression as given below:
![5m2-180n25(m2-36n)
- 5(m2 -(6n))
-5 (m- бп) (m+ бп)
[:* -а - (*-а)(*+а)]
11](https://content.bartleby.com/qna-images/answer/b4dca08d-d7c1-4511-81d7-e3b17171b463/e1e70dc5-de66-413a-9745-df08efebc3da/meb9ftqp.png)
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