9(a-b)²+12(a²-b²)+4(a+b)²因式分解
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![9(a-b)²+12(a²-b²)+4(a+b)²因式分解](/uploads/image/z/5906573-53-3.jpg?t=9%28a-b%29%26%23178%3B%2B12%28a%26%23178%3B-b%26%23178%3B%29%2B4%28a%2Bb%29%26%23178%3B%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
9(a-b)²+12(a²-b²)+4(a+b)²因式分解
9(a-b)²+12(a²-b²)+4(a+b)²
因式分解
9(a-b)²+12(a²-b²)+4(a+b)²因式分解
=[3(a-b)]²+2×3(a-b)×2(a+b)+[2(a+b)]²
=[3(a-b)+2(a+b)]²
=(5a-b)²
9(a-b)²+12(a²-b²)+4(a+b)²=[3(a-b)]²+2*3(a-b)*2(a+b)+[2(a+b)]²
=[3(a-b)+2(a+b)]²=(5a-b)²