分解因式:(a+b-c-d)²+4(a+b)(c+d) x²+2xy-8y²-4x-10y+3

问题描述:

分解因式:(a+b-c-d)²+4(a+b)(c+d) x²+2xy-8y²-4x-10y+3

(a+b-c-d)²+4(a+b)(c+d)=(a+b)^2+(c+d)^2+2(a+b)(c+d)=(a+b+c+d)^2
x²+2xy-8y²-4x-10y+3=(x+4y)(x-2y)-(4x+10y)+3=(x+4y-1)(x-2y-3)