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将下列各式分解因式.(1)15a3b2+5a2b(2)-5a2b3+20ab2-5ab(3)x(x-y)-y(y-x)(4)-12x3+12x2y-3xy2(5)(x+y)2+mx+my(6)8a(x-y)2-4b(y-x)
题目详情
将下列各式分解因式.
(1)15a3b2+5a2b
(2)-5a2b3+20ab2-5ab
(3)x(x-y)-y(y-x)
(4)-12x3+12x2y-3xy2
(5)(x+y)2+mx+my
(6)8a(x-y)2-4b(y-x)
322
232
322
2
2
(1)15a3b2+5a2b
(2)-5a2b3+20ab2-5ab
(3)x(x-y)-y(y-x)
(4)-12x3+12x2y-3xy2
(5)(x+y)2+mx+my
(6)8a(x-y)2-4b(y-x)
322
232
322
2
2
▼优质解答
答案和解析
(1)原式=5a22b(3ab+1);
(2)原式=-5ab(ab22-4b+1);
(3)原式=x(x-y)+y(x-y)
=(x-y)(x+y);
(4)原式=-3x(2x-y)22;
(5)原式=(x+y)22+m(x+y)
=(x+y)(x+y+m);
(6)原式=4(x-y)(2ax-2ay+b).
(2)原式=-5ab(ab22-4b+1);
(3)原式=x(x-y)+y(x-y)
=(x-y)(x+y);
(4)原式=-3x(2x-y)22;
(5)原式=(x+y)22+m(x+y)
=(x+y)(x+y+m);
(6)原式=4(x-y)(2ax-2ay+b).
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