a²(x-y)²-2a(x-y)三次方+(x-y)四次方 因式分解

问题描述:

a²(x-y)²-2a(x-y)三次方+(x-y)四次方 因式分解

a²(x-y)²-2a(x-y)三次方+(x-y)四次方
=(x-y)²【a²-2a(x-y)+(x-y)²】 (提取公因式)
=(x-y)²【a-(x-y)】² (完全平方公式)
=(x-y)²(a-x+y)²

原式=(x-y)²[a²-2a(x-y)+(x-y)²]
=(x-y)²[a-(x-y)]²
=(x-y)²(2a-x+y)²