分解因式(1)(a-b)(x-y)-(b-a)(x+y)(2)ax2-4ax+4a(3)(x2+1)2-4x2(4)用简便方法计算:10032-9972.
题型:解答题难度:一般来源:不详
分解因式 (1)(a-b)(x-y)-(b-a)(x+y) (2)ax2-4ax+4a (3)(x2+1)2-4x2 (4)用简便方法计算:10032-9972. |
答案
(1)(a-b)(x-y)-(b-a)(x+y) =(a-b)(x-y)+(a-b)(x+y) =(a-b)(x-y+x+y) =2x(a-b);
(2)ax2-4ax+4a =a(x2-4x+4) =a(x-2)2;
(3)(x2+1)2-4x2 =(x2+2x+1)(x2-2x+1) =(x+1)2(x-1)2;
(4)10032-9972 =(1003+997)× =2000×6 =12000. |
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