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

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

II PUC MATHEMATICS ( SUPPLEMENTARY EXAM QUESTION PAPER JUNE -2019)
SUNSTAR PUBLICATION|Exercise PART-D|10 Videos
ANNUAL EXAM QUESTION PAPER MARCH -2014
SUNSTAR PUBLICATION|Exercise PART-E|4 Videos
II PUC MATHEMATICS (ANNUAL EXAM QUESTION PAPER MARCH - 2015)
SUNSTAR PUBLICATION|Exercise PART-E|4 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

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)

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 in the expansion of |(3x +1,2x-1,x+2),( 5x-1, 3x+2,x+1),(7x-1,3x+1,4x-1)| is

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