Question

1:(x-y)m^3+(y-x)m 2:(x-1)+b^2(1-x) 3:2x^4-32y^4

4:3ab^4-3a 5:b^2-9(a+b)^2 6:(a+b)^2-16(a-b)^2 7:3a^2b(a-b)+6ab(b-a) 8:4xy^2-4x^2y-y^3 9:m^4-2(m^2-1/

Answer 1

1:(x-y)m^3+(y-x)m
=（x-y)m^3-(x-y)m
=m（x-y)(m^2-1)
=m（x-y)(m+1)(m-1)
2:(x-1)+b^2(1-x)
=（x-1)(1-b^2)
=（x-1)(1+b)(1-b)
3:2x^4-32y^4
=2(x^4-16y^4)
=2(x^2+4y^2)(x^2-4y^2)
=2(x^2+4y^2)(x+2y)(x-2y)
4:3ab^4-3a
=3a(b^4-1)
=3a(b^2+1)(b+1)(b-1)
5:b^2-9(a+b)^2
=[b+3(a+b)][b-3(a+b)]
=(3a+4b)(-3a-2b)
6:(a+b)^2-16(a-b)^2
=[(a+b)+4(a-b)][(a+b)-4(a-b)]
=(5a-3b)(-3a+5b)
7:3a^2b(a-b)+6ab(b-a)
=3ab(a-b)(a-2)
8:4xy^2-4x^2y-y^3
=-y(4x^2-4xy+y^2)
=-y(2x-y)^2

Answer 2

自己想