Simplify the following expression.  

(3x + 5)2 + (3x - 5)2 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 1)
View all SSC CGL Papers >
  1. 500x
  2. 450x
  3. 9x2 + 50  
  4. 2(9x2 + 25)  

Answer (Detailed Solution Below)

Option 4 : 2(9x2 + 25)  
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
3.3 Lakh Users
100 Questions 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given

(3x + 5)2 + (3x - 5)2 

Calculation

(a + b)2 + (a - b)2 

⇒ 2 (a2 + b2)

(3x + 5)2 + (3x - 5)= 2 ((3x)2 + (5)2)

⇒ 2(9x2 + 25)

The answer to the given simplification is 2(9x2 + 25).

Latest SSC CGL Updates

Last updated on Jul 10, 2025

-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.

-> 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.

More Algebra Questions

Get Free Access Now
Hot Links: real teen patti teen patti real money app happy teen patti teen patti king