m^2(a-2)+m(2-a)
=m^2(a-2)-m(a-2)
=m(a-2)(m-1)
3(a-b)^2-4(b-a)
=3(a-b)^2+4(a-b)
=(a-b)[3(a-b)+4]
=(a-b)(3a-3b+4)
公因式:a-b
5m^2(a-b)-10m(a-b)^2
=5m(a-b)[m-2(a-b)]
=5m(a-b)(m-2a+2b)
公因式:5m(a-b)
(19x-31)(13x-17)-(13x-17)·(11x-23)
=[(19x-31)-(11x-23)](13x-17)
=(19x-31-11x+23)(13x-17)
=(13x-17)(8x-8)
=(ax+b)(8x+c),
a=13
b=-17
c=-8
a+b+c
=13-17-8
=-12
(xy^2-2xy)+(2y-4)
=xy(y-2) +2(y-2)
=(y-2)(xy+2)
x(x-y)^2(a-b)-(y-x)^2(b-a)
= x(x-y)^2(a-b)+(x-y)^2(a-b)
= (x-y)^2(a-b)(x+1)
-4a^3b^4+12a^2b^5-16ab^6
=-4ab^4(a^2-3ab+4b^2)
(a+b)(2x-y)+(a+b)(2y-x)
=(a+b)[(2x-y)+(2y-x)]
=(a+b)(2x-y+2y-x)
=(a+b)(x+y)
2(x+1)+(x+1)(x-1)-(2x-3)(x+1)
=(x+1)[2+(x-1)-(2x-3)]
=(x+1)(2+x-1-2x+3)
=(x+1)(4-x)