Let c=(a+ib)3−47i, where a,b,c∈Z+ and i=√−1. Then the value of a+b+c is
The planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a straight line, where a,b,c are non-zero constants. Then the value of a2+b2+c2+2abc is