Without expanding a determinant at any stage, show that `|x^2+xx+1x-2 2x^2+3x-1 3x3x-3x^2+2x+3 2x-1 2x-1|=x A+B ,w h e r eAa n dB` are determinant of order 3 not involving `xdot`

Without expanding a determinant at any stage, show that | |x^2+x ,x+1 , x+2|,|, 2x^2+3x-1, 3x , 3x-3 | , | x^2+2x+3, 2x-1 ,2x-1||=x A+B ,w h e r eAa n dB are determinant of order 3 not involving xdot

Without expanding a determinant at any stage, show that abs((x^2+x ,x+1 , x-2),(2x^2+3x-1 ,3x , 3x-3) , (x^2+2x+3, 2x-1 ,2x-1))=xA+B ,where A and B are determinant of order 3 not involving xdot

Without expanding a determinant at any stage, show that abs((x^2+x ,x+1 , x-2),(2x^2+3x-1 ,3x , 3x-3) , (x^2+2x+3, 2x-1 ,2x-1))=xA+B ,where A and B are determinant of order 3 not involving xdot

Without expanding a determinant at any stage, show that |{:(x^(2)+x, x+1, x+2),(2x^(2) +3x-1, 3x, 3x-3),(x^(2) +2x+3, 2x-1, 2x-1):}|=xA+B where A and B are determinants of order 3 not involving x.

" If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3x-1,,3x,,3x-3),(x^(2)+2x+3,,2x-1,,2x-1):}|=xA +B then

" If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3x-1,,3x,,3x-3),(x^(2)+2x+3,,2x-1,,2x-1):}|=xA +B then

" If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3x-1,,3x,,3x-3),(x^(2)+2x+3,,2x-1,,2x-1):}|=xA +B then find A and B

Without expanding show that the following determinant is equal to Ax+B where A and B are determinants of order 3 not involning x. [[x^2+x,x+1,x-2],[2x^2+3x-1,3x,3x-3],[x^2+3x+3,2x-1,2x-1]]