【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2 分解因式

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【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2 分解因式
【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2 分解因式

【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2 分解因式
【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2
=【x+3y】^2-2[x+3y][4x-3y]+[4x-3y]^2
=【(x+3y)-(3y-4x)】^2
=(-3x)^2
=9x^2

【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2
=(x+3y)²+2(x+3y)(3y-4x)+(3y-4x)²
=(x+3y+3y-4x)²
=(6y-3x)²
=[3(x-2y)]²
=9(x-2y)²
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【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2
=(x+3y)²+2(x+3y)(3y-4x)+(3y-4x)²
=(x+3y+3y-4x)²
=(6y-3x)²
=[3(x-2y)]²
=9(x-2y)²
很高兴为您解答，祝你学习进步！【the1900】团队为您答题。
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您好：

【x+3y】^2+[2x+6y][3y-4x]+[4x-3y]^2
=【x+3y】^2-2[x+3y][4x-3y]+[4x-3y]^2
=(x+3y-4x+3y)^2
=(-3x+6y)^2
=9(x-2y)^2

不明白，可以追问
如有帮助，记得采纳，谢谢
祝学习进步！

设置x+3y为t，3y-4x为p
原式可化简为t^2+2tp+p^2=(t+p)^2
代进去可得：(x+3y+3y-4x)^2=(6y-3x)^2

(（x+3y）-(4x-3y))^2

你看看你还明白不？

=x^2+9y^2+6xy+6xy-8x^2+18y^2-24xy+16x^2+9y^2-24xy
=9x^2+36y^2-36xy
=9(x^2-4xy+4y^2)
=9(x-2y)^2

[2(x-y)^5-8(x-y)^2(x+y)+6y(x-y)^2]÷2(x-y)^2[2(x-y)^3-8(x-y)^2(x+y)+6y(x-y)^2]÷2(x-y)^2 3y/x*x-y*y+x/x*x-2xy+y*y+6y*y/x*x*x-x*x*y-xy*y+y*y*y等于多少? 【2(x-y)^3-8(x-y)^2(x+y)+6y(x-y)^2】/2(x-y)^2= x(x-y)2-(y-x)3 [(3x+y)(x-y)-(2x+3y)(x-y)]*(x-y) 计算：x+2y/x-y+2x/y-x-3y/x-y 化简:(x-3y)(x+y)-(x-2y)(x+2y)-(x-y)平方 2(2x+3y)(3x+2y)-(6x-y)(2x-5y) 因式分解3x^2(x-y)+6x(y-x) x+y/2+x-y/6=5 2(x+y)-3(x-y)=-2 x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20 {(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20 4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6 [12(x+y)^3+3(x+y)(x-y)^2]÷6(x+y) 4x-3y/x-2y÷6y-8x/y-2x 3(x-y)^2-7(x-y)+8(y-x)^2+6(y-x)合并同类项. （x+y）/2- x-y/2=6 3(x+y)=4(x-y) x+y/3+x-y/2=6 4(x+y)-2(x-y)=40