(m+n)²+6(m²-n²)+9(m-n) ²
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![(m+n)²+6(m²-n²)+9(m-n) ²](/uploads/image/z/2803402-10-2.jpg?t=%28m%2Bn%29%26%23178%3B%2B6%28m%26%23178%3B-n%26%23178%3B%29%2B9%28m-n%29+%26%23178%3B)
(m+n)²+6(m²-n²)+9(m-n) ²
(m+n)²+6(m²-n²)+9(m-n) ²
(m+n)²+6(m²-n²)+9(m-n) ²
用平方差公式和完全平方公式
(m+n)²+6(m²-n²)+9(m-n) ²
=(m+n)²+2*3(m+n)(m-n)+[3(m-n)]²
=[m+n+3(m-n)]²
=(m+n+3m-3n)²
=(4m-2n)²
=4(2m-n)²
望采纳,O(∩_∩)O谢谢