Q. 24.7( 4 Votes )

Using the propert

Answer :

Let

Expanding |A| along C1, we get




= (a + x) [(a + y)(a + z) – yz] – y [(x)(a + z) – xz] + z [xy – x (a + y)]


= (a + x) [a2 + az + ya + yz – yz] – y [ax + xz – xz] + z [xy – xa + xy]


= (a + x) [a2 + az + ya] – y [ax] + z [– xa]


= a(a2 + az + ya) + x(a2 + az + ya) – yax – zxa


= a3 + a2z + ya2 + xa2 + xaz + xya – yax – zxa


= a3 + a2z + ya2 + xa2


= a2 (a + z + y + x)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Using properties Mathematics - Board Papers

Using properties Mathematics - Board Papers

Using properties Mathematics - Board Papers

Prove the followiMathematics - Board Papers