填空題.

(1)25a2-_______=(5a+2b)(5a-2b);(2)x2-=(x-)(________).

(3)-a2+b2=(b+a)(________);(4)36x2-81y2=9(_______)(_______).

 

【答案】

(1)4b2;(2)x+;(3)b-a;(4)2x+3y  2x-3y 

【解析】

試題分析:根據(jù)平方差公式,提取公因式法依次分析各小題即可。

(1)25a2-4b2=(5a+2b)(5a-2b);

(2)x2-=(x-)(x+);

(3)-a2+b2=b2-a2=(b+a)(b-a);

(4)36x2-81y2=9(4x2-9y2)=9(2x+3y)(2x-3y).

考點(diǎn):本題考查的是因式分解

點(diǎn)評:解答本題的關(guān)鍵是熟練掌握平方差公式:a2-b2=(a+b)(a-b);同時(shí)注意一個(gè)多項(xiàng)式有公因式首先提取公因式,同時(shí)因式分解要徹底,直到不能分解為止.

 

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