(1).-3ma^3+6ma^-12ma(2).x^6n+2+2x^3n+2+x^2(3).5(x-y)^3+10(y-x)^2(4).2a(X-a)+4b(a-x)-6c(X-a)(5).(x^2+y^2)^2-(z^2-x^2)^2-(y^2+z^2)^2(5).(c^2-a^2-b^2)^2-4a^2b^2(6).(ax+by)^2+(ay-bx)^2+2(ax+by)(ay-bx)(7).625b^4-(a-b)^4(8).(x^2-b^2+y^2-a^2)^2-4(ab-xy)

Question

(1).-3ma^3+6ma^-12ma (2).x^6n+2+2x^3n+2+x^2 (3).5(x-y)^3+10(y-x)^2 (4).2a(X-a)+4b(a-x)-6c(X-a) (5).(x^2+y^2)^2-(z^2-x^2)^2-(y^2+z^2)^2
(5).(c^2-a^2-b^2)^2-4a^2b^2(6).(ax+by)^2+(ay-bx)^2+2(ax+by)(ay-bx)(7).625b^4-(a-b)^4(8).(x^2-b^2+y^2-a^2)^2-4(ab-xy)^2

Answer 1

6ma^理解为6ma^2
1.-3ma^3+6ma^-12ma
=-3ma(a^2-2a+4)
2.x^6n+2+2x^3n+2+x^2
=x^(6n+6n+2)+4
=x^(12n+2)+4
3.5(x-y)^3+10(y-x)^2
=5(x-y)^3+10(x-y)^2
=(x-y)^2(5x+5y+10)
=5(x-y)^2(x+y+2)
4.2a(X-a)+4b(a-x)-6c(X-a)
=2a(X-a)-4b(x-a)-6c(X-a)
=(x-a)(2a-4b-6c)
=2(x-a)(a-2b-3c)
5.(c^2-a^2-b^2)^2-4a^2b^2
=[c^2-(a^2+b^2)]^2-4a^2b^2
=c^2-2c^2(a^2+b^2)+(a^2+b^2)^2-4a^2b^2
=c^2(1-2a^2-2b^2)+a^4+b^4+2a^2b^2-4a^2b^2
=c^2(1-2a^2-2b^2)+(a^2-b^2)
=c^2(1-2a^2-2b^2)+(a+b)(a-b)
6.(ax+by)^2+(ay-bx)^2+2(ax+by)(ay-bx)
=(ax+by+ay-bx)^2
=[a(x+y)-b(x-y)]^2
7.625b^4-(a-b)^4
=[25b^2+(a-b)^2][25b^2-*(a-b)^2]
=(a^2-2ab+26b^2)(5b+a-b)(5b-a+b)
=(a^2-2ab+26b^2)(4b+a)(6b-a)
8.（x^2-b^2+y^2-a^2)^2-4(ab-xy)^2
=（x^2-b^2+y^2-a^2+2ab-2xy)(x^2-b^2+y^2-a^2-2ab+2xy)
=[(x-y)^2-(a+b)^2][(x+y)^2-(a+b)^2]
呼呼...累死了...