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Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x)^2

Answer»

SOLUTION :`[[x+4,2X,2x],[2x,x+4,2x],[2x,2x,x+4]]`
`[R_1rarrR_1+R_2+R_3]`
`[[5x+4,5x+4,5x+4],[2x,x+4,2x],[2x,2x,x+4]]`
=`(5x+4)[[1,1,1],[2x,x+4,2x],[2x,2x,x+4]]`
`[C_2rarrC_2-C_1,C_3rarrC_3-C_1]`
=`(5x+4)[[1,0,0],[2x,4-x,0],[2x,0,4-x]]`
=`(5x+4)(4-x)^2`


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