计算(x+y)(x-y)(x+y)3次方(x-y)5次方计算(x+y)×(x-y)×(x+y)3次方×(x-y)5次方

计算(x+y)(x-y)(x+y)3次方(x-y)5次方计算(x+y)×(x-y)×(x+y)3次方×(x-y)5次方
计算(x+y)(x-y)(x+y)3次方(x-y)5次方
计算(x+y)×(x-y)×(x+y)3次方×(x-y)5次方

计算(x+y)(x-y)(x+y)3次方(x-y)5次方计算(x+y)×(x-y)×(x+y)3次方×(x-y)5次方
= (x+y)^4 * (x-y)^6 = (x^2-y^2)^4 * (x-y)^2
= x^10 - 2*(x^9) - 5*(x^8 * y^2) + 8 * (x^7 * y^3) + 2*(x^6 * y^4) - 12*(x^5 * y^5) + 2*(x^4 * y^6) + 8*(x^3 * y^7) -3*(x^2 * y^8) -2*(x * y^9) + y^16

(x+y)(x-y)(x+y)3次方(x-y)5次
=(x+y)^4(x-y)^6

这道题应该先利用平方差公式，结合出x^2-y^2项，然后利用二项式定理。相关内容在高中数学课本上可以找到。
（您好，我急需分，可以给我吗？感激不尽……）

等于(x+y)的四次方乘以(x-y)的六次方。

要展开式么？

原式= (x+y)^4 * (x-y)^6 = (x^2-y^2)^4 * (x-y)^2
= x^10 - 2*(x^9) - 5*(x^8 * y^2) + 8 * (x^7 * y^3) + 2*(x^6 * y^4) - 12*(x^5 * y^5) + 2*(x^4 * y^6) + 8*(x^3 * y^7) -3*(x^2 * y^8) -2*(x * y^9) + y^16
领悟

(x+y)×(x-y)×(x+y)^3×(x-y)^5
=(x+y)^4*(x-y)^6
=(x^2-y^2)^4*(x-y)^2

这是化简题吧？=(x^2-y^2)^4*(x-y)^2 再化下去就是繁琐题了。。。

(x+y)×(x-y)×(x+y)3次方×(x-y)5次方 = (x+y)^4 * (x-y)^6 = (x^2-y^2)^4 * (x-y)^2
= x^10 - 2*(x^9) - 5*(x^8 * y^2) + 8 * (x^7 * y^3) + 2*(x^6 * y^4) - 12*(x^5 * y^5) + 2*(x^4 * y^6) + 8*(x^3 * y^7) -3*(x^2 * y^8) -2*(x * y^9) + y^16 (其中“^”表示的是后面是次方数)

拜托 至少把题型说下啊 要是练计算的 自己算下吧 耐心点 最多5分钟就够了

1.(x+y)(x-y)(x+y)3次方(x-y)5次
=(x+y)^4(x-y)^6
2.= (x+y)^4 * (x-y)^6 = (x^2-y^2)^4 * (x-y)^2
= x^10 - 2*(x^9) - 5*(x^8 * y^2) + 8 * (x^7 * y^3) + 2*(x^6 * y^4) - 12*(x^5 * y^5) + 2*(x^4 * y...

全部展开

1.(x+y)(x-y)(x+y)3次方(x-y)5次
=(x+y)^4(x-y)^6
2.= (x+y)^4 * (x-y)^6 = (x^2-y^2)^4 * (x-y)^2
= x^10 - 2*(x^9) - 5*(x^8 * y^2) + 8 * (x^7 * y^3) + 2*(x^6 * y^4) - 12*(x^5 * y^5) + 2*(x^4 * y^6) + 8*(x^3 * y^7) -3*(x^2 * y^8) -2*(x * y^9) + y^16
3.原式= (x+y)^4 * (x-y)^6 = (x^2-y^2)^4 * (x-y)^2
= x^10 - 2*(x^9) - 5*(x^8 * y^2) + 8 * (x^7 * y^3) + 2*(x^6 * y^4) - 12*(x^5 * y^5) + 2*(x^4 * y^6) + 8*(x^3 * y^7) -3*(x^2 * y^8) -2*(x * y^9) + y^16
4.(x+y)×(x-y)×(x+y)3次方×(x-y)5次方 = (x+y)^4 * (x-y)^6 = (x^2-y^2)^4 * (x-y)^2
= x^10 - 2*(x^9) - 5*(x^8 * y^2) + 8 * (x^7 * y^3) + 2*(x^6 * y^4) - 12*(x^5 * y^5) + 2*(x^4 * y^6) + 8*(x^3 * y^7) -3*(x^2 * y^8) -2*(x * y^9) + y^16 (其中“^”表示的是后面是次方数)
5.(x+y)×(x-y)×(x+y)^3×(x-y)^5
=(x+y)^4*(x-y)^6
=(x^2-y^2)^4*(x-y)^2

收起

=(x+y)`4(x-y)`6 =(x`2-y`2)(x`2-2xy+y`2)=
再乘开来就行了

(x+y)(x-y)(x+y)3次方(x-y)5次方
=(x+y)(x+y)3次方(x-y)(x-y)5次方
=(x+y)^4(x-y)^6

(x2-y2)3×(x-y)2
就是（x平方-y平方）的三次方×（x-y）平方

(x+y)^4(x-y)^6

(x+y)(x-y)(x+y)3次方(x-y)5次
=(x+y)-(x+y)(x+y)3次方-(x+y)5次
=(x+y)(x+y)(x+y)3次方(x+y)5次
=(x+y)10次方

（x+y)^4(x-y)^6