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Without expanding at any stage, show tha...

Without expanding at any stage, show that
`Delta=|{:(x^2+x+2,2x^2+3x+1,3x^2+5x+3),(20x^2+20x+59,40x^2+60x+20,60x^2+100x+70),(2x^2+2x+6,4x^2+6x+2,6x^2+10x+7):}|=x^2A+xB+C` , where A and B are determinants of order 3 not involving x….

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