Prove that |(1,x,x^2),(x^2,1,x),(x,x^2,1...

Prove that `|(1,x,x^2),(x^2,1,x),(x,x^2,1)|=(1-x^3)^2`.

ANNUAL EXAMINATION QUESTION PAPER JUN-2019
SUBHASH PUBLICATION|Exercise PART D|10 Videos
ANNUAL EXAMINATION QUESTION PAPER JUN-2018
SUBHASH PUBLICATION|Exercise PART E|4 Videos
ANNUAL EXAMINATION QUESTION PAPER JUNE-2019 (WITH ANSWERS)
SUBHASH PUBLICATION|Exercise EXERCISE|38 Videos

Similar Questions

Explore conceptually related problems

Prove that |(1,x,x^2),(x^2,1,x),(x,x^2,1)|=(1-x^2) .

By using properties of determinants , show that : {:|( 1,x,x^(2) ),( x^(2) ,1,x) ,( x,x^(2), 1) |:} =( 1-x^(3)) ^(2)

The constant term of the polynomial |(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3x+1)| is

Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)[(3x=x^(3))/(1-3x^(2))],|x|lt1/(sqrt(3))

Prove that tan^(-1)x+tan^(-1)((2x)/(1-x^(2)))=tan^(-1)((3x-x^(3))/(1-3x^(2)))|x|lt1/(sqrt(3))

The constant term of the polynormial {|:(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,+3x+1):|} is

If a+ib =(x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) =(x^(2)+1)^(2)/(2x^(2) +1)^(2) .

If a+ib = (x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) = (x^(2)+1)^(2)/(2x^(2) + 1)^(2)