(2x+y)²-(x+2y)² 因式分解
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(2x+y)²-(x+2y)² 因式分解
(2x+y)²-(x+2y)² 因式分解
(2x+y)²-(x+2y)² 因式分解
(2x+y)²-(x+2y)²
=4x²+4xy+y²-﹙x²+4xy+4y²﹚
=4x²+4xy+y²-x²-4xy-4y²
=3x²-3y²
=3﹙x+y﹚﹙x-y﹚
保证准确率~
(2x+y)²-(x+2y)²
=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)
平方差
原式= (2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)
(2x+y)²-(x+2y)²
=[(2x+y)+(x+2y)]*[(2x+y)-(x+2y)]
=3(x+y)(x-y)