Question
Download Solution PDFIf (a + 1)2 + (a + 2)2 = 16 then what is the value of 40 + 12a + 4a2?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(a + 1)2 + (a + 2)2 = 16
Calculation:
(a + 1)2 + (a + 2)2 = 16
a2 + 1 + 2a + a2 + 4 + 4a = 16
2a2 + 6a + 5 = 16
2a2 + 6a = 11
Multiply by 2 on both sides
4a2 + 12a = 22
Add 40 both sides
4a2 + 12a + 40 = 62
∴ Option 2 is the correct answer.
Last updated on Jun 25, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.
->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.