Question

八年级上册数学 因式分解

-xy(x-y)^+X^(Y-x)+xy(x-y)
(b-a+c)(b-a-c)+(a-b-c)(a+b-c)
(3a-4b)(5a-6b)-(7a-8b)(6b-5a)
a^是a的平方

Answer 1

第一个没看懂写什么 是平方吗
(b-a+c)(b-a-c)-(b-a+c)(a+b-c)=（b-a+c）（b-a-c-a-b+c）= -2a(b-a+c)
(3a-4b)(5a-6b)+(7a-8b)(5a-6b)=(3a-4b+7a-8b)(5a-6b)=(10a-12b(5a-6b)=2(5a-6b)(5a-6b)

Answer 2

解：
-xy(x-y)^+X^(Y-x)+xy(x-y)
=x(x-y)[-y(x-y) -x+y ]
=x(x-y)[-y(x-y) -(x-y)]
=x(x-y)(x-y)(-y-1)
=-x(x-y)^(y+1)

(b-a+c)(b-a-c)+(a-b-c)(a+b-c)
=(b-a)^-c^+(a-c)^-b^
=b^+a^-2ab-c^+a^+c^-2ac-b^
=2a^-2ab-2ac
=2a(a-b-c)

(3a-4b)(5a-6b)-(7a-8b)(6b-5a)
=(5a-6b)[(3a-4b)+(7a-8b)]
=(5a-6b)(10a-12b)
=2(5a-6b)(5a-6b)
=2(5a-6b)^