Question
Download Solution PDFIf (a3 + b3) is proportional to (a2 – b2), then (a2 - ab + b2) is proportional to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
a3 + b3 = (a + b)(a2 - ab + b2)
a2 - b2 = (a + b)(a - b)
Calculation:
According to the question
(a3 + b3) ∝ (a2 – b2)
Using the above identities
⇒ (a + b)(a 2 - ab + b2) ∝ (a + b)(a - b)
⇒ (a 2 - ab + b2) ∝ (a - b)
∴ (a 2 - ab + b2) will be proportional to the a - b
Last updated on Jul 7, 2025
-> The UPSC CDS Exam Date 2025 has been released which will be conducted on 14th September 2025.
-> Candidates can now edit and submit theirt application form again from 7th to 9th July 2025.
-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.
-> Attempt UPSC CDS Free Mock Test to boost your score.
-> Refer to the CDS Previous Year Papers to enhance your preparation.