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每日一練:下列等式必定成立的是

更新時間:2024-01-12 12:54:09作者:貝語網校

下列等式必定成立的是

A.a2+a3=a5

B.x2-y2=(x-y)2

C.-x(2-x)=x2-2x

D.x3÷x-5=x-2

試題答案

C

試題解析

根據平方差公式,單項式乘以多項式;同底數冪相除,底數不變指數相減,對各選項分析判斷后利用排除法求解.

解答:A、a2與a3不是同類項的不能合并,故本選項錯誤;

B、應為x2-y2=(x-y)•(x+y),故本選項錯誤;

C、-x(2-x)=x2-2x,正確;

D、應為x3÷x-5=x8,故本選項錯誤.

故選C.

點評:本題考查了平方差公式,單項式乘多項式,同底數冪的除法,熟練掌握運算法則和性質是解題的關鍵,指數為負數時運算性質同樣適用.

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