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如果把代数式中任意两个字母对换后代数式保持不变 ,则称这样的代数式为对称式 .例如 :a+b ,ab ,a2 +b2 ,x2 + y2 等都是对称式 .我们知道 :只要已知a +b的值和ab的值 ,就可以求出关于a、b的对称式的值 .例如 :当a+b=3,ab=12 时 ,a2 +b2 =(a+b) 2 - 2a
If the algebraic expression of any two letters in the algebraic formula is not changed, the algebraic expression is said to be symmetric. For example: a+b, ab, a2 + b2, x2 + y2, etc. are symmetric. We know that: Knowing the value of a + b and the value of ab, we can find symmetry values for a, b. For example: when a + b = 3, ab = 12, a2 + b2 = (a + b) 2 - 2a