作业帮因式分解；①a^2x^2y-axy^2,②-20a-15ax,③-14abc-7ab+49ab^2c,④x(x-y)-y(y-x)⑤15（a-b）^2-3y(b-a),⑥m(x-y)^2-x+y,⑦（a-3）^2-（2a-6),⑧(m+n)(p-q)-(m+n)(q+p) 急需!要过程~!拜托啦!
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 10:25:37
因式分解；①a^2x^2y-axy^2,②-20a-15ax,③-14abc-7ab+49ab^2c,④x(x-y)-y(y-x)⑤15（a-b）^2-3y(b-a),⑥m(x-y)^2-x+y,⑦（a-3）^2-（2a-6),⑧(m+n)(p-q)-(m+n)(q+p) 急需!要过程~!拜托啦!
因式分解；①a^2x^2y-axy^2,②-20a-15ax,③-14abc-7ab+49ab^2c,④x(x-y)-y(y-x)
⑤15（a-b）^2-3y(b-a),⑥m(x-y)^2-x+y,⑦（a-3）^2-（2a-6),⑧(m+n)(p-q)-(m+n)(q+p) 急需!要过程~!拜托啦!
因式分解；①a^2x^2y-axy^2,②-20a-15ax,③-14abc-7ab+49ab^2c,④x(x-y)-y(y-x)⑤15（a-b）^2-3y(b-a),⑥m(x-y)^2-x+y,⑦（a-3）^2-（2a-6),⑧(m+n)(p-q)-(m+n)(q+p) 急需!要过程~!拜托啦!
1 a^2x^2y-axy^2
=axy(ax-y)
2 -20a-15ax
=-5a(4+3x)
3 -14abc-7ab+49ab^2c
=-7ab(2c+1-7bc)
4 x(x-y)-y(y-x)
=x(x-y)+y(x-y)
=(x+y)(x-y)
5 15(a-b)^2-3y(b-a)
=(a-b)(15a-15b+3y)
6 m(x-y)^2-x+y
=m(x-y)^2-(x-y)
=(x-y)(mx-my-1)
7 （a-3)^2-(2a-6)
=（a-3)^2-2(a-3)
=（a-3）（a-5）
8 (m+n)(p-q)-(m+n)(q+p)
=(m+n)(p-q-q-p)
=-2q(m+n)
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