若多项式(x+2y)²-6x(x+2y)有一个因式为x+2y,则另一个因式为A.2x-5y B.-5x-2y C.-5X+2y D.5X+2y
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![若多项式(x+2y)²-6x(x+2y)有一个因式为x+2y,则另一个因式为A.2x-5y B.-5x-2y C.-5X+2y D.5X+2y](/uploads/image/z/6126054-6-4.jpg?t=%E8%8B%A5%E5%A4%9A%E9%A1%B9%E5%BC%8F%28x%2B2y%29%26%23178%3B-6x%28x%2B2y%29%E6%9C%89%E4%B8%80%E4%B8%AA%E5%9B%A0%E5%BC%8F%E4%B8%BAx%2B2y%2C%E5%88%99%E5%8F%A6%E4%B8%80%E4%B8%AA%E5%9B%A0%E5%BC%8F%E4%B8%BAA.2x-5y+B.-5x-2y+C.-5X%2B2y+D.5X%2B2y)
若多项式(x+2y)²-6x(x+2y)有一个因式为x+2y,则另一个因式为A.2x-5y B.-5x-2y C.-5X+2y D.5X+2y
若多项式(x+2y)²-6x(x+2y)有一个因式为x+2y,则另一个因式为
A.2x-5y B.-5x-2y C.-5X+2y D.5X+2y
若多项式(x+2y)²-6x(x+2y)有一个因式为x+2y,则另一个因式为A.2x-5y B.-5x-2y C.-5X+2y D.5X+2y
(x+2y)²-6x(x+2y)=(x+2y)(x+2y-6x)=(x+2y)(-5x+2y).答案为C
原式=(x+2y)*(-5x+2y) 选C