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.
因式分解
(1)-8ax2+16axy-8ay2;
(2)(a2+1)2-4a2.
(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.