因式分解 :﹙1﹚x²-4y²+x-2y ﹙2﹚4a²-﹙a²+1﹚²
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因式分解 :﹙1﹚x²-4y²+x-2y ﹙2﹚4a²-﹙a²+1﹚²
因式分解 :﹙1﹚x²-4y²+x-2y ﹙2﹚4a²-﹙a²+1﹚²
因式分解 :﹙1﹚x²-4y²+x-2y ﹙2﹚4a²-﹙a²+1﹚²
﹙1﹚x²-4y²+x-2y =(x²-4y²)+(x-2y )
=(x+2y )(x-2y )+(x-2y )
=(x-2y )(x+2y +1)
﹙2﹚4a²-﹙a²+1﹚²
=(2a)²-﹙a²+1﹚²
=(2a+a²+1)(2a-a²-1)
=(a²+2a+1)(-a²+2a-1)
=-(a+1)²(a²-2a+1)
=-(a+1)²(a-1)²
2.原式=(2A+A+1)(2A-A-1)=(3A+1)(A-1)
(1),原式=(x+2y)(x-2y)+(x-2y)=(x-2y)(x+2y+1)
(2),原式=[2a-(a^2+1)][2a+(a^2+1)]=-[a^2-2a+1][a^2+2a+1]=-(a-1)^2(a+1)^2
(1)原式=(x²-4y²)+(x-2y)
=(x+2y)(x-2y)+(x-2y)
=(x+2y+1)(x-2y)
(2)原式=(2a+a²+1)(2a-a²-1)
=-(a²+2a+1)(a²-2a+1)
=-(a+1)²(a-1)²