分解因式:4x²-4x-y²+4y-3
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 18:33:43
![分解因式:4x²-4x-y²+4y-3](/uploads/image/z/1628385-33-5.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A4x%26%23178%3B-4x-y%26%23178%3B%2B4y-3)
分解因式:4x²-4x-y²+4y-3
分解因式:4x²-4x-y²+4y-3
分解因式:4x²-4x-y²+4y-3
4x²-4x-y²+4y-3
=(4x²-4x+1)-(y²+4y+4)
=(2x-1)²-(y+2)²
=(2x-1+y+2)(2x-1-y-2)
=(2x+y+1)(2x-y-3)
4x²-4x-y²+4y-3
=4x^2-4x+1-y^2+4y-4
=(2x-1)^2-(y^2-4y+4)
=(2x-1)^2-(y-2)^2
=[(2x-1)+(y-2)][(2x-1)-(y-2)]
=(2x+y-3)(2x-y+1)
4x²-4x-y²+4y-3
=(4x²-4x+1)-(y²-4y+4)-3-1+4
=(2x-1)²-(y-2)²