4分之12x的平方 x 2分之1一12x=2分之1

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分解因式:(1)1-36b2;(2)12x2-3y2;(3)0.49p2-144;(4)(2x+y)2-(x+2y)2.
主讲:段红杰
【思路分析】
有公因式的先提取公因式,再运用公式分解因式
【解析过程】
(1)1-36b2=(1+6b)(1-6b);(2)12x2-3y2=3(4x2-y2)=3(2x+y)(2x-y);(3)0.49p2-144=(0.7p+12)(0.7p-12);(4)(2x+y)2-(x+2y)2=(2x+y+x+2y)(2x+y-x-2y)=3(x+y)(x-y)
(1)1-36b2=(1+6b)(1-6b);(2)12x2-3y2=3(2x+y)(2x-y);(3)0.49p2-144=(0.7p+12)(0.7p-12);(4)(2x+y)2-(x+2y)2=3(x+y)(x-y)
分解因式,有公因式的先提取公因式,然后再运用公式
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