( x^2-b^2+y^2-a^2)^2-4(ab-xy)^2_数学解答

( x^2-b^2+y^2-a^2)^2-4(ab-xy)^2

人气：390 ℃　时间：2020-07-01 15:51:57

解答

原式=(x²-b²+y²-a²+2ab-2xy)(x²-b²+y²-a²-2ab+2xy)=[(x-y)²-(a-b)²][(x+y)²-(a+b)²]=(x-y+a-b)(x-y-a+b)(x+y+a+b)(x+y-a-b)