x乘以(x-y)²减去2乘以(y-x)³用提取公因式法分解因式求解
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![x乘以(x-y)²减去2乘以(y-x)³用提取公因式法分解因式求解](/uploads/image/z/5305139-35-9.jpg?t=x%E4%B9%98%E4%BB%A5%28x-y%29%26%23178%3B%E5%87%8F%E5%8E%BB2%E4%B9%98%E4%BB%A5%28y-x%29%26%23179%3B%E7%94%A8%E6%8F%90%E5%8F%96%E5%85%AC%E5%9B%A0%E5%BC%8F%E6%B3%95%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E6%B1%82%E8%A7%A3)
x乘以(x-y)²减去2乘以(y-x)³用提取公因式法分解因式求解
x乘以(x-y)²减去2乘以(y-x)³用提取公因式法分解因式求解
x乘以(x-y)²减去2乘以(y-x)³用提取公因式法分解因式求解
原式
=x(x-y)²-2(y-x)³
=x(x-y)²+2(x-y)³
=(x-y)²×[x+2(x-y)]
=(x-y)²(3x-2y)
=(x+y)(x-y)(3x-2y)
x(x-y)²-2(y-x)³
= x(y-x)²-2(y-x)³
= (y-x)² [x -2(y-x)]
=(y-x)² (3x-2y)
x(x-y)^2-2(y-x)^3
=(x-y)^2 [x-2(y-x)]
=(x+y)(x-y)[x-2y+2x]
=(x+y)(x-y)(3x-2y)