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|[x,a,x+9],[y,b,y+b],[z,c,x+c])=0...

|[x,a,x+9],[y,b,y+b],[z,c,x+c])=0

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Without expanding the determinant prove the following. |[x,a,x+a],[y,b,y+b],[z,c,z+c]|=0

|[x,a,x+a],[y,b,y+b],[z,c,z+c]|=0

Show without expanding at any stage that: [x,a,x+a],[y,b,y+b],[z,c,z+c]|=0

|(x,a,x+a),(y,b,y+b),(z,c,z+c)| = 0

Without expanding show that |{:(x,a,x+a),(y,b,y+b),(z,c,z+c):}|=0

Using the property of determinants and without expanding {:[( x,a,x+a),( y,b,y+b),(z,c,z+c)]:} =0

Using the property of determinants and without expanding {:|( x,a,x+a),( y,b,y+b),(z,c,z+c)|:} =0

Using the property of determinants and without expanding {:|( x,a,x+a),( y,b,y+b),(z,c,z+c)|:} =0

Using the property of determinants and without expanding {:[( x,a,x+a),( y,b,y+b),(z,c,z+c)]:} =0

x,a,x+ay,b,y+bz,c,z+c]|=0