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he is difficult but his question is very interesting
(x2−5x+7)2−(x−2)(x−3)=1(x2−5x+7)2−(x−2)(x−3)=1
(x2−5x+7+x−5x+6)(x2−5x+7−(x2−5x+6)=1[A2−B2=(A+B)(A−B)](x2−5x+7+x−5x+6)(x2−5x+7−(x2−5x+6)=1[A2−B2=(A+B)(A−B)]
(2x2−10x+13)(x2−5x+7−x2+5x−6)=1(2x2−10x+13)(x2−5x+7−x2+5x−6)=1
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(x2−5x+7)2−(x−2)(x−3)=1(x2−5x+7)2−(x−2)(x−3)=1
(x2−5x+7+x−5x+6)(x2−5x+7−(x2−5x+6)=1[A2−B2=(A+B)(A−B)](x2−5x+7+x−5x+6)(x2−5x+7−(x2−5x+6)=1[A2−B2=(A+B)(A−B)]
(2x2−10x+13)(x2−5x+7−x2+5x−6)=1(2x2−10x+13)(x2−5x+7−x2+5x−6)=1
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