Question

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！

Answer 1

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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