4x³-4x²y-(x-y)初一数学,因式分解
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4x³-4x²y-(x-y)初一数学,因式分解
4x³-4x²y-(x-y)
4x³-4x²y-(x-y)
![4x³-4x²y-(x-y)初一数学,因式分解](/uploads/image/z/18806925-21-5.jpg?t=4x%26%23179%3B-4x%26%23178%3By-%EF%BC%88x-y%EF%BC%89%E5%88%9D%E4%B8%80%E6%95%B0%E5%AD%A6%2C%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
4x³-4x²y-(x-y)
=4x²(x-y)-(x-y)
=(4x²-1)(x-y)
=(2x+1)(2x-1)(x-y)
再问: 2x²-8xy+8y²
再答: 2x²-8xy+8y²=2(x²-4xy+4y²)=2(x-2y)²
=4x²(x-y)-(x-y)
=(4x²-1)(x-y)
=(2x+1)(2x-1)(x-y)
再问: 2x²-8xy+8y²
再答: 2x²-8xy+8y²=2(x²-4xy+4y²)=2(x-2y)²