(a^2-3a+2)x^2+(2a^2-4a+1)xy+(a^2-a)y
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(a^2-3a+2)x^2+(2a^2-4a+1)xy+(a^2-a)y
因式分解
因式分解
我想可能“+(a^2-a)y”应改为“+a^2-a)y^2”
原式=a^2(x^2+2xy+y^2)-a(3x^2+4xy+y^2)+(2x^2+xy)
=a^2(x+y)^2 -a(3x+y)(x+y)+2x(x+y)
=(x+y)(a^2(x+y)-a(3x+y)+2x)
=(x+y)((a^2-3a+2)x+(a^2-a)y)
=(x+y)((a-1)(a-2)x+a(a-1)y)
=(x+y)(a-1)(ax-2x-ay)
好了,很辛苦的哦!
原式=a^2(x^2+2xy+y^2)-a(3x^2+4xy+y^2)+(2x^2+xy)
=a^2(x+y)^2 -a(3x+y)(x+y)+2x(x+y)
=(x+y)(a^2(x+y)-a(3x+y)+2x)
=(x+y)((a^2-3a+2)x+(a^2-a)y)
=(x+y)((a-1)(a-2)x+a(a-1)y)
=(x+y)(a-1)(ax-2x-ay)
好了,很辛苦的哦!
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