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Without expanding the determinant prove...

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

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`|[x,a,x+a],[y,b,y+a],[z,c,z+a]|=|[x+a,a,x+a],[y+b,b,y+b],[z+c,c,z+c]|`(by`C_1rarrC_1+C_2`)
`=0(becauseC_1=C_3)`
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A N EXCEL PUBLICATION-DETERMINANTS-QUESTION TYPE
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  3. Without expanding the determinant prove the following. |[x,a,x+a],[y...

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