(x-y)³-4(x-y)²+4(x-y)分解因式希望将步骤写清楚 谢谢
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![(x-y)³-4(x-y)²+4(x-y)分解因式希望将步骤写清楚 谢谢](/uploads/image/z/7805685-21-5.jpg?t=%28x-y%29%26%23179%3B-4%28x-y%29%26%23178%3B%2B4%28x-y%29%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E5%B8%8C%E6%9C%9B%E5%B0%86%E6%AD%A5%E9%AA%A4%E5%86%99%E6%B8%85%E6%A5%9A+%E8%B0%A2%E8%B0%A2)
(x-y)³-4(x-y)²+4(x-y)分解因式希望将步骤写清楚 谢谢
(x-y)³-4(x-y)²+4(x-y)分解因式
希望将步骤写清楚 谢谢
(x-y)³-4(x-y)²+4(x-y)分解因式希望将步骤写清楚 谢谢
(x-y)³-4(x-y)²+4(x-y)
=(x-y)[(x-y)^2-4(x-y)+4]
=(x-y)(x-y-2)^2
(x-y)³-4(x-y)²+4(x-y)
=(x-y)[(x-y)²-4(x-y)+4]
=(x-y)[(x-y)-2]²
=(x-y)(x-y-2)²
先提取公因式,再将x-y看成一个整体,进行二次式的因式分解
(x-y)³-4(x-y)²+4(x-y)
=(x-y)[(x-y)²-4(x-y)+4]
=(x-y)[(x-y)-2]²
=(x-y)(x-y-2)²