9(x+y)2-(x-y)2怎么算,还有:(x-2)(x-4)+1和:(x+y)²-4(x+y-1)

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9(x+y)2-(x-y)2怎么算,还有:(x-2)(x-4)+1和:(x+y)²-4(x+y-1)

9(x+y)2-(x-y)2怎么算,还有:(x-2)(x-4)+1和:(x+y)²-4(x+y-1)
9(x+y)2-(x-y)2怎么算,
还有:(x-2)(x-4)+1
和:(x+y)²-4(x+y-1)

9(x+y)2-(x-y)2怎么算,还有:(x-2)(x-4)+1和:(x+y)²-4(x+y-1)
9(x+y)^2-(x-y)2
=(3(x+y))^2-(x-y)^2
=(3(x+y)+(x-y))(3(x+y)-(x-y)
=(3x+3y+x-y)(3x+3y-x+y)
=(4x+2y)(2x+4y)
=4(2x+y)(x+2y)
(x-2)(x-4)+1
=x^2-6x+9
=(x+3)^2
(x+y)^2-4(x+y-1)
=(x+y)^2-4(x+y)+4
=((x+y)-2)^2
=(x+y-2)^2

9(x+y)^2-(x-y)2
=(3(x+y))^2-(x-y)^2
=(3(x+y)+(x-y))(3(x+y)-(x-y)
=(3x+3y+x-y)(3x+3y-x+y)
=(4x+2y)(2x+4y)
=4(2x+y)(x+2y)

9(x+y)^2-(x-y)^2=9(x+y)^2-(x+y)(x-y)=(x+y)(9x+9y-x+y)=(x+y)(8x+10y)=2(x+y)(4x+5y)
(x-2)(x-4)+1=x^2-4x-2x+8+1=x^2-6x+9=(x-3)^2
(x+y)^2-4(x+y)+4=(x+y-2)^2

9(x2+y2+2xy)-(x2+y2-2xy)=9x2+9y2+18xy-x2-y2+2xy=8x2+8y2+20xy