Question
If 27x3 - 8y3 = (3x - Ay) X
(Bx2 + 4y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.Solution
27x3 - 8y3 = (3x - Ay) X (Bx2 + 4y2 + Cxy) We know that, a3 - b3 = (a - b) X (a2 + b2 + ab) So, 27x3 - 8y3 = (3x)3 - (2y)3 = (3x - 2y) X (9x2 + 4y2 + 3x X 2y) = (3x - 2y) X (9x2 + 4y2 + 6xy) So, (3x - Ay) X (Bx2 + 4y2 + Cxy) = (3x - 2y) X (9x2 + 4y2 + 6xy) On comparing coefficients of LHS and RHS, we get, A = 2, B = 9, and C = 6 So, 3 X (2A + 6B) - 2C = 3 X {2 X 2 + 6 X 9} - 2 X 6 = 3 X (4 + 54) - 12 = 3 X 58 - 12 = 174 - 12 = 162
Which company has signed an MoU with the Rajasthan Cricket Association for the development of the Anil Agarwal International Cricket Stadium in Jaipur, ...
Tropical Cyclone Alvaro made landfall in southwest Madagascar. What is the main objective of the intergovernmental project ‘REPRESA’ launched across...
Who has been appointed as the first woman law secretary of India?
The Reserve Bank of India (RBI) has launched a centralized web portal UDGAM (Unclaimed Deposits – Gateway to Access inforMation).What is the purpose b...
What is the primary focus of the Fisheries Summer Meet 2024 to be held in Madurai?
What is the name of India's proposed mission to enhance the supply chain for critical minerals?
The newly launched National Agri-Food Biomanufacturing Institute in Mohali is a merger of which two institutes?
By FY28, Affordable Housing Finance Companies (AHFCs) are projected to have assets under management (AUM) of:
Who has been appointed Director of the Vikram Sarabhai Space Centre in 2025?
The government has raised the threshold limit of PF withdrawal for deduction of tax from 30,000 to ?
Relevant for Exams:
