因式分解1/4(a+b)²+1/2(a+b)+1/4我现在给它分解成了1/2*[1/2*(a+b)²+(a+b)+1/2],
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![因式分解1/4(a+b)²+1/2(a+b)+1/4我现在给它分解成了1/2*[1/2*(a+b)²+(a+b)+1/2],](/uploads/image/z/264211-43-1.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A31%2F4%28a%2Bb%29%26%23178%3B%2B1%2F2%28a%2Bb%29%2B1%2F4%E6%88%91%E7%8E%B0%E5%9C%A8%E7%BB%99%E5%AE%83%E5%88%86%E8%A7%A3%E6%88%90%E4%BA%861%2F2%2A%5B1%2F2%2A%28a%2Bb%29%26%23178%3B%2B%28a%2Bb%29%2B1%2F2%5D%EF%BC%8C)
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因式分解1/4(a+b)²+1/2(a+b)+1/4我现在给它分解成了1/2*[1/2*(a+b)²+(a+b)+1/2],
因式分解1/4(a+b)²+1/2(a+b)+1/4
我现在给它分解成了1/2*[1/2*(a+b)²+(a+b)+1/2],
因式分解1/4(a+b)²+1/2(a+b)+1/4我现在给它分解成了1/2*[1/2*(a+b)²+(a+b)+1/2],
令a+b=k,得
1/4*k^2+1/2*k+1/4=1/4*(k^2+2k+1)
=1/4*(k+1)^2
=1/4*(a+b+1)^2
1/4(a+b)²+1/2(a+b)+1/4=1/4[(a+b)²+2(a+b)+1]=1/4(a+b+1)²。