计算(x+y)(x-y)(x+y)3次方(x-y)5次方

题目

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

答案

= (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