(3X+2Y)(4X+5Y)(3X-2Y)*(5Y-4X) 等于多少?

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(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。。。

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