因式分解：A^4+16
-10X^2-27X-5X^3+2X^2-3X^2-2XY+3X-3Y+Y^2+29X^2-Z^2+Y^2-6XY...
-10X^2-27X-5 X^3+2X^2-3 X^2-2XY+3X-3Y+Y^2+2 9X^2-Z^2+Y^2-6XY
展开
1个回答
展开全部
A^4+16=A⁴+8A²+16-8A²=(A²+4)²-(2√2A)²=(A²+2√2A+4)(A²-2√2A+4)
-10X^2-27X-5 =-(10x²+27x+5)=-(5x+1)(2x+5)
X^3+2X^2-3=(x³-x²)+(3x²-3)=x²(x-1)+3(x+1)(x-1)=(x-1)(x²+3x+3)
X^2-2XY+3X-3Y+Y^2+2 =(x-y)²+3(x-y)+2 =(x-y+1)(x-y+2)
9X^2-Z^2+Y^2-6XY=(3x-y)²-z²=(3x-y+z)(3x-y-z)
-10X^2-27X-5 =-(10x²+27x+5)=-(5x+1)(2x+5)
X^3+2X^2-3=(x³-x²)+(3x²-3)=x²(x-1)+3(x+1)(x-1)=(x-1)(x²+3x+3)
X^2-2XY+3X-3Y+Y^2+2 =(x-y)²+3(x-y)+2 =(x-y+1)(x-y+2)
9X^2-Z^2+Y^2-6XY=(3x-y)²-z²=(3x-y+z)(3x-y-z)
本回答由提问者推荐
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
