(3X+2Y)(4X+5Y)(3X-2Y)*(5Y-4X) 等于多少?

来源：学生作业帮助网编辑：六六作业网时间：2024/11/07 15:39:22

(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-4X)等于多少?(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-4X)等于多少?(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-

(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-4X) 等于多少?
(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-4X) 等于多少?

(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-4X) 等于多少?
(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-4X)
=[(3X+2Y)(3X-2Y)]*[(5Y+4X)(5Y-4X)]
=(9X^2-4Y^2)(25Y^2-16X^2)
=-144X^4+289X^2Y^2-100Y^4

(3X+2Y)*(4X+5Y)*(3X-2Y)*(5Y-4X)
=(3x+2y)(3x-2y)(5y+4x)(5y-4x)
=(9x^2-4y^2)(25y^2-16x^2)
=225x^2y^2-144x^4-100y^4+64x^2y^2
=289x^2y^2-144x^4-100y^4

第1和第3个式子用平方差公式
第2和第4个式子用平方差公式
所以原式＝（9X＾2－4Y＾2）＊（25Y＾2－16X＾2）
＝－100Y＾4－154X＾4＋161X＾2＊Y＾2

你想把结果做到什么程度。。？
原式＝－144x^4＋289x^2×y^2－100y^4
不知是否满足LZ的需求啊。。。

因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y) 5/4(x+y)(-x-y)^3*[-4/3(x-y)]*[-3/5(y-x)^2] 5x^3y(x-y)^3-10x^4y^3(y-x)^2因式分解 5x^3y(x-y)^3-10x^4y^3(y-x)^2 5X^3Y(X-Y)-10X^4Y^3(Y-X)^2因式分解 (2x-y)(3x-4y)-2(x-y)(2x-5y)简便运算 3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 4(x-y)-3(x-y)=9 5(x-y)+2(x-y)=11 3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27 （x-y）^3×（y-x）^4+（x-y）^2×（y-x）^5 计算(x^8-x^7y+x^5y^3-x^4y^4+x^3y^5-x^y^7+y^8)(x^2+xy+y^2) 先化简再求值(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y) x=4 y=5 3(x-y)-2(x+y)-5(x-y)+4(x+y)+3(x-y) 化简合并同类项化简:5(x-y)+2(x+y)-3(x-y) (x-y) (x-2y)+(x+2y) (x-3y)-2(x-3y) (x-4y)= 已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y) (2x-3y)-(5x-y) (2X-3y)-(5x-y)