因式分解x的4次方减2x方y减3y方加六y减4
问题描述：
因式分解x的4次方减2x方y减3y方加六y减4
答
x^4-2x^y-3y^2+6y-4
=(x^2-y)^2-4y^2+6y-4
=(x^2-y)^2-4(y^2-3/2)^2+5
答
原式=x^4-2x²y+y²-4y²+8y-4
=(x²-y)²-4(y-1)²
=(x²-y+2y-2)(x²-y-2y+2)
=(x²+y-2)(x²-3y+2)