问题
解答题
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答案
(1)原式=3x(1-4x2)
=3x(1-2x)(1+2x);
(2)原式=2a[(x2+1)2-x2]
=2x(x+12(x-1)2;
(3)原式=2(x2+x+
)1 4
=2(x+
)2.1 2
(4)原式=(a2-b2)-(4a-4b)
=(a+b)(a-b)-4(a-b)
=(a-b)(a+b-4);
(5)原式=5bx(4a2-9y2)
=5bx(2a-3y)(2a+3y);
(6)原式=(x2+y2-2xy)-1
=(x-y)2-1
=(x-y-1)(x-y+1);
(7)原式=2m(a-b)+3n(a-b)
=(a-b)(2m+3n);
(8)原式=(a-b)(3a+b)2-(a+3b)2(a-b)
=(a-b)[(3a+b)2-(a+3b)2]
=(a-b)(3a+b-a-3b)(3a+b+a+3b)
=(a-b)(2a-2b)(4a+4b)
=8(a-b)2(a+b).