Question

七年级因式分解！急急急急急急急急急急！一定要有详细过程！

题1：9(p-q)^2-6(p-q)+1
题2：(x^2+y^2)^2-4x^2*y^2
题3：5m^2(a-b-c)+20(b+c-a)
题4：1/7(x-y)^3+7(y-x)
题5：64m^2n^2-(m^2+16n^2)^2
题6：9(x+3y)^2-25(x-3y)^2
题7：9(a+b)^2-6(a^2-b^2)+(a-b)^2
不会所有的也不要紧！

Answer 1

9(p-q)^2-6(p-q)+1
=(3p-3q-1)^2
：(x^2+y^2)^2-4x^2*y^2
=(x^2+y^2+2xy)(x^2+y^2-2xy)
=(x+y)^2(x-y)^2
5m^2(a-b-c)+20(b+c-a)
=5m^2(a-b-c)-20(a-b-c)
=5(a-b-c)(m^-4)
=5(a-b-c)(m+2)(m-2)
1/7(x-y)^3+7(y-x)
=1/7(x-y)^3-7(x-y)
=1/7(x-y)(x-y+7)(x-y-7)

64m^2n^2-(m^2+16n^2)^2
=(8mn+m^2+16n^2)(8mn-m^2-16n^2)
=-(m+4n)^2(m-4n)^2
9(x+3y)^2-25(x-3y)^2
=(3x+9y+5x-15y)(3x+9y-5x+15y)
=(8x-6y)(-2x+24y)
=4(4x-3y)(-x+12y)
9(a+b)^2-6(a^2-b^2)+(a-b)^2
=(3a+3b-a+b)^2
=(2a+4b)^2
=4(a+2b)^2