16(x-1)(2x-1)(3x+1)(6x-1)+25
=16(x-1)(3x+1)(2x-1)(6x-1)+25
=4(4x-4)(3x+1)(2x-1)(6x-1)+25
=4(12x²-8x-4)(12x²-8x+1)+25
=4(12x²-8x+1-5)(12x²-8x+1)+25
=4(12x²-8x+1)²-20(12x²-8x+1)+5²
=[2(12x²-8x+1)]²-20(12x²-8x+1)+5²
=[2(12x²-8x+1)-5]²
=[24x²-16x+2-5]²
=[24x²-16x-3]²
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