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: |(x,y,z),(x+3a,y+3b,z+3c),(a,b,c)|

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

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

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. |(1,1,x),(1,x,x^2),(1,x^2,x^3)|=0

Without expanding,find the values of the following determinants: |(8,2,7),(12,3,5),(16,4,3)|

Without expanding,find the values of the following determinants: |(41,1,5),(79,7,9),(29,5,3)|

Without expanding,find the values of the following determinants: |(3,7,12),(5,9,20),(12,13,48)|

Find the value of the following determinant: |(5,7),(2,4)|

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