作业帮完全平方公式题(2)注:括号后的数为次方 (2X+Y-3)2(A+3B-2)(A-3B+2)(X+Y+1)(1-X-Y)[X+(Y+1)][X-(Y+1)](3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/13 15:24:06
![完全平方公式题(2)注:括号后的数为次方 (2X+Y-3)2(A+3B-2)(A-3B+2)(X+Y+1)(1-X-Y)[X+(Y+1)][X-(Y+1)](3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)](/uploads/image/z/3677368-40-8.jpg?t=%E5%AE%8C%E5%85%A8%E5%B9%B3%E6%96%B9%E5%85%AC%E5%BC%8F%E9%A2%98%282%29%E6%B3%A8%3A%E6%8B%AC%E5%8F%B7%E5%90%8E%E7%9A%84%E6%95%B0%E4%B8%BA%E6%AC%A1%E6%96%B9+%282X%2BY-3%292%28A%2B3B-2%29%28A-3B%2B2%29%28X%2BY%2B1%29%281-X-Y%29%5BX%2B%28Y%2B1%29%5D%5BX-%28Y%2B1%29%5D%283X%2BY-4%29%283X%2BY%2B4%29-%283X%2BY%2B4%29%283X-Y-4%29)
完全平方公式题(2)注:括号后的数为次方 (2X+Y-3)2(A+3B-2)(A-3B+2)(X+Y+1)(1-X-Y)[X+(Y+1)][X-(Y+1)](3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)
完全平方公式题(2)
注:括号后的数为次方
(2X+Y-3)2
(A+3B-2)(A-3B+2)
(X+Y+1)(1-X-Y)
[X+(Y+1)][X-(Y+1)]
(3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)
完全平方公式题(2)注:括号后的数为次方 (2X+Y-3)2(A+3B-2)(A-3B+2)(X+Y+1)(1-X-Y)[X+(Y+1)][X-(Y+1)](3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)
(2X+Y-3)^2 =(zx+y)^2-6(2x+y)+9=z^2 x^2+2xyz+y^2-12x-6y+9
(A+3B-2)(A-3B+2) =[a+(3b-2)][a-(3b-2)]=a^2-(3b-2)^2=a^2-9b^2+12b-4
(X+Y+1)(1-X-Y)=-(x+y-1)(x+y+1)=-(x+y)^2+1=-x^2-2xy-y^2+1
[X+(Y+1)][X-(Y+1)]=x^2-(y+1)^2=x^2-y^2-2y-1
(3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)
=(3x+y)^2-16-(3x)^2+(y+4)^2
=9x^2+6xy+y^2-16-9x^2+y^2+8y+16
=6xy+2y^2+8y
（1）原式=(2x)2+2×2x(y-3)+(y-3)2
=4x2+4xy-12x+y2-6x+9
=4x2+4xy-18x+y2+9
（2）原式=(A+3B)2-22
=A2+6AB+9B2-4
（3）原式=12-(X+Y)2
=1-X2-2XY-Y2
（4）原式=X2-(Y+1)2
=X2-Y2-2Y-1
（5）原式=(3X+Y)2-16-(3X)2+(Y+4)2
=9X2+6XY+Y2-16-9X2+Y2+8Y+16
=2Y2+6XY+8Y