Home
Class 12
MATHS
Prove: |(y+z, z, y),( z, z+x,x),( y, x,x...

Prove: `|(y+z, z, y),( z, z+x,x),( y, x,x+y)|=4\ x y z`

Promotional Banner

Similar Questions

Explore conceptually related problems

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

Without expanding, prove the following |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

Prove that: |[y+z, z, y],[z, z+x, x], [y, x, x+y]|= 4 xyz

Prove that |(y+z, x,y),(z+x, z, x),(x+y, y, z)| = (x+y+z)(x-z)^(2) .

|{:(y+z," "z," "y),(" "z,z+x," "x),(" "y," "x,x+y):}|=4xyz

Prove: |(z, x, y),( z^2,x^2,y^2),(z^4,x^4,y^4)|=|(x, y, z),( x^2,y^2,z^2),(x^4,y^4,z^4)|=|(x^2,y^2,z^2),(x^4,y^4,z^4),(x, y, z)|=x y z(x-y)(y-z)(z-x)(x+y+z) .

Prove: |(2y, y-z-x,2y),(2z,2z, z-x-y),( x-y-z,2x,2x)|=(x+y+z)^3

Prove: |(2y, y-z-x,2y),(2z,2z, z-x-y),( x-y-z,2x,2x)|=(x+y+z)^3

Prove that |[y+z,z,y],[z,z+x,x],[y,x,x+y]]=4xyz