(x+2y)(2x+y)-(x+2y)(2y-x)其中x=1/3,y=1/2分解因式a^2(a-1)-4(1-a)^2

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(x+2y)(2x+y)-(x+2y)(2y-x)其中x=1/3,y=1/2分解因式a^2(a-1)-4(1-a)^2
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(x+2y)(2x+y)-(x+2y)(2y-x)其中x=1/3,y=1/2分解因式a^2(a-1)-4(1-a)^2
(x+2y)(2x+y)-(x+2y)(2y-x)其中x=1/3,y=1/2
分解因式
a^2(a-1)-4(1-a)^2

(x+2y)(2x+y)-(x+2y)(2y-x)其中x=1/3,y=1/2分解因式a^2(a-1)-4(1-a)^2
(x+2y)(2x+y)-(x+2y)(2y-x)
=2x²+5xy+2y²+x²-4y²
=3x²+5xy-2y²
当x=1/3,y=1/2时
原式=1/3+5/6-1/2
=2/3
a^2(a-1)-4(1-a)^2
=a²(a-1)-4(a-1)²
=(a-1)(a²-4a+4)
=(a-1)(a-2)²

1、原式=（x+2y)[(2x+y)-(2y-x)]=(x+2y)(2x+y-2y+x)=(x+2y)(3x-y)=（1/3+1)(1-1/2)=4/3*1/2=2/3
2、原式=a^2(a-1)-4(a-1)^2=(a-1)(a^2-4a+4)=(a-1)(a-2)^2

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