问题 解答题

因式分解

(1)-8ax2+16axy-8ay2

(2)(a2+1)2-4a2

答案

(1)-8ax2+16axy-8ay2

=-8a(x2-2xy+y2),

=-8a(x-y)2

(2)(a2+1)2-4a2

=(a2+1-2a)(a2+1+2a),

=(a+1)2(a-1)2

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