四道分解因式:1.(x+y)²-4(x+y-1) 2.(x²+y²)²-4x²y²3.(x²-2x)²+2(x²-2x)+1 4.(x+y)²-6x²+6y²+9(x-y)²
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 14:53:29
![四道分解因式:1.(x+y)²-4(x+y-1) 2.(x²+y²)²-4x²y²3.(x²-2x)²+2(x²-2x)+1 4.(x+y)²-6x²+6y²+9(x-y)²](/uploads/image/z/11317364-44-4.jpg?t=%E5%9B%9B%E9%81%93%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A1.%28x%2By%29%26%23178%3B-4%EF%BC%88x%2By-1%29+2.%28x%26%23178%3B%2By%26%23178%3B%29%26%23178%3B-4x%26%23178%3By%26%23178%3B3.%28x%26%23178%3B-2x%29%26%23178%3B%2B2%28x%26%23178%3B-2x%29%2B1+++++++++++++++4.%28x%2By%29%26%23178%3B-6x%26%23178%3B%2B6y%26%23178%3B%2B9%28x-y%29%26%23178%3B)
四道分解因式:1.(x+y)²-4(x+y-1) 2.(x²+y²)²-4x²y²3.(x²-2x)²+2(x²-2x)+1 4.(x+y)²-6x²+6y²+9(x-y)²
四道分解因式:1.(x+y)²-4(x+y-1) 2.(x²+y²)²-4x²y²
3.(x²-2x)²+2(x²-2x)+1 4.(x+y)²-6x²+6y²+9(x-y)²
四道分解因式:1.(x+y)²-4(x+y-1) 2.(x²+y²)²-4x²y²3.(x²-2x)²+2(x²-2x)+1 4.(x+y)²-6x²+6y²+9(x-y)²
1.(x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=(x+y-2)²
2.(x²+y²)²-4x²y²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
3.(x²-2x)²+2(x²-2x)+1
=(x²-2x+1)²
=(x-1)⁴
4.(x+y)²-6x²+6y²+9(x-y)²
=(x+y)²-6(x²-y²)+[3(x-y)]²
=[(x+y)-3(x-y)]²
=(x+y-3x+3y)²
=(-2x+4y)²
=4(x-2y)²