分解因式16(x-y)²+24(y²-x²)+9(x+y)²
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![分解因式16(x-y)²+24(y²-x²)+9(x+y)²](/uploads/image/z/1268952-24-2.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F16%28x-y%29%26%23178%3B%2B24%28y%26%23178%3B-x%26%23178%3B%29%2B9%28x%2By%29%26%23178%3B)
分解因式16(x-y)²+24(y²-x²)+9(x+y)²
分解因式16(x-y)²+24(y²-x²)+9(x+y)²
分解因式16(x-y)²+24(y²-x²)+9(x+y)²
16(x-y)²+24(y²-x²)+9(x+y)²
= [4(x-y)]²+2*4(x-y)*3(x+y)+[3(x+y)]²
=[4(x-y)+3(x+y)]²
= (7x+y)²