Without expanding,show that the values of the following determinants are zero:`|(x,y,z),(x+3a,y+3b,z+3c),(a,b,c)|`

Without expanding,show that the values of the following determinants are zero: |(a,b,c),(2,5,7),(a+4,b+10,c+14)|

Without expanding,show that the values of the following determinants are zero: |(1,4,y+z),(1,4,z+x),(1,4,x+y)|

Without expanding,show that the values of the following determinants are zero: |(1,x,x^2-yz),(1,y,y^2-zx),(1,z,z^2-xy)|

Solve the following:Without expanding show that the value of the following determinants are Zero. |(3,4,7),(5,8,13),(9,6,15)|=0

Solve the following:Without expanding show that the value of the following determinants are Zero. |(1,1,x),(1,x,x^2),(1,x^2,x^3)|=0

Without expanding evaluate the following determinants. |(1,a,b+c),(1,b,c+a),(1,c,a+b)|

Expand the following determinants: |(0,x,y),(-x,0,z),(-y,-z,0)|

Without expanding determinant show that |(0,a,b),(-a,0,c),(-b,-c,0)|=0

Select and write the correct answer from the given alternatives in each of the following:The determinant is equal to |(a-b,b-c,c-a),(x-y,y-z,z-x),(p-q,q-r,r-p)|