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  • 因式分解: (1)x(x-y)+y(x-y)-(x-y)2 (2)-14xy-x2-49y2 (3)9(a+b)2-6(a+b)+1 (4)25(a-2b)2-64(b+2a)2 (5)x2(a+b)-(a+b) (6)(a2+9b2)2-

    因式分解:
    (1)x(x-y)+y(x-y)-(x-y)2
    (2)-14xy-x2-49y2
    (3)9(a+b)2-6(a+b)+1
    (4)25(a-2b)2-64(b+2a)2
    (5)x2(a+b)-(a+b)
    (6)(a2+9b22-36a2b2
    數(shù)學(xué)人氣:844 ℃時間:2020-02-03 05:07:45
    優(yōu)質(zhì)解答
    (1)x(x-y)+y(x-y)-(x-y)2
    =(x-y)[x+y-(x-y)]
    =2y(x-y);
    (2)-14xy-x2-49y2
    =-(x2+49y2+14xy)
    =-(x+7y)2
    (3)9(a+b)2-6(a+b)+1
    =[3(a+b)-1]2
    =(3a+3b-1)2
    (4)25(a-2b)2-64(b+2a)2
    =[5(a-2b)+8(b+2a)][5(a-2b)-8(b+2a)]
    =(21a-2b)(-11a-18b);
    (5)x2(a+b)-(a+b)
    =(a+b)(x+1)(x-1);
    (6)原式=(a2+9b2+6ab)(a2+9b2-6ab)
    =(a+3b)2(a-3b)2
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