x(x^2y^2-xy)-y(x^2-x^3y)a^4-(1-a)(1+a)(1+a^2)4x^3y+4x^2y^3+xy^38(a-b)^2+12(a-b)a^2-2ab+b^2-c^2若3^x=a,3^y=b,求3^2x-y的值

x(x^2y^2-xy)-y(x^2-x^3y)a^4-(1-a)(1+a)(1+a^2)4x^3y+4x^2y^3+xy^38(a-b)^2+12(a-b)a^2-2ab+b^2-c^2若3^x=a,3^y=b,求3^2x-y的值
x(x^2y^2-xy)-y(x^2-x^3y)
a^4-(1-a)(1+a)(1+a^2)
4x^3y+4x^2y^3+xy^3
8(a-b)^2+12(a-b)
a^2-2ab+b^2-c^2
若3^x=a,3^y=b,求3^2x-y的值

x(x^2y^2-xy)-y(x^2-x^3y)a^4-(1-a)(1+a)(1+a^2)4x^3y+4x^2y^3+xy^38(a-b)^2+12(a-b)a^2-2ab+b^2-c^2若3^x=a,3^y=b,求3^2x-y的值
1.x(x^2y^2-xy)-y(x^2-x^3y)
=x^3 y^2 -x^2 y - x^2 y + x^3 y
=2x^3 y^2 -2x^2 y
=2x^2 y(x-1)
2.a^4 -(1-a)(1+a)(1+a^2)
=a^4 -(1-a^2)(1+a^2)
=a^4 -(1-a^4)
=a^4 -1+a^4
=2a^4 -1
3.这道题的第二项你好像打错了 看下我写的对不对
4x^3y+4x^2y^2+xy^3
=4x^3 y +2x^2 y^2 +2x^2 y^2 +xy^3
=2x^2 y(2x+y)+xy^2(2x+y)
=(2x+y)(2x^2 y +xy^2)
=(2x+y)(2x+y)xy
4.8(a-b)^2+12(a-b)
=4(a-b)(2a-2b+3)
5.a^2-2ab+b^2-c^2
=(a-b)^2-c^2
=(a-b-c)(a-b+c)

完全看不懂你这道题目，你是不是书写错了？