设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与B的大小.
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![设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与B的大小.](/uploads/image/z/6866251-43-1.jpg?t=%E8%AE%BEA%E7%AD%89%E4%BA%8E4%2B4%28a%2Bb%29%2B%28a%2Bb%29%E7%9A%84%E5%B9%B3%E6%96%B9%2CB%E7%AD%89%E4%BA%8E4%28a%2B1%29%28b%2B1%29+%28a%E4%B8%8D%E7%AD%89%E4%BA%8Eb%29%E6%AF%94%E8%BE%83A%E4%B8%8E%E8%AE%BEA%E7%AD%89%E4%BA%8E4%2B4%28a%2Bb%29%2B%28a%2Bb%29%E7%9A%84%E5%B9%B3%E6%96%B9%2CB%E7%AD%89%E4%BA%8E4%28a%2B1%29%28b%2B1%29+%28a%E4%B8%8D%E7%AD%89%E4%BA%8Eb%29%E6%AF%94%E8%BE%83A%E4%B8%8EB%E7%9A%84%E5%A4%A7%E5%B0%8F.)
设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与B的大小.
设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与
设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与B的大小.
设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与设A等于4+4(a+b)+(a+b)的平方,B等于4(a+1)(b+1) (a不等于b)比较A与B的大小.
A-B
=[4+4(a+b)+(a+b)的平方]-4(a+1)(b+1)
=4+4a+4b+a^2+2ab+b^2-4ab-4a-4b-4
=a^2-2ab+b^2
=(a-b)^2≥0
A-B≥0
所以A≥B