Question

求x-y的五次方等于多少？

Answer 1

14.14.14.14.14.14.14.

Answer 2

二项式定理要是会，可以直接展开，要是不会，可以拆成两个二次一个一次，分别展开再相乘

Answer 3

二项式定理:

二项式定理(a+b)^n=C(n,0)a^n+C(n,1)a^(n-1)*b+C(n,2)a^(n-2)*b^2+...+C(n,n)b^n

x-y)(x-y)(x-y)(x-y)(x-y)
=(x²+2xy+y²)(x-y)(x-y)(x-y)
=(x³+3x²y+3xy²+y³)(x-y)(x-y)
=(x^4+4x³y+6x²y²+4xy³+y^4)(x-y)

=x^5-5x^4y+10x³y²-10x²y³+xy^4-y^5

Answer 4

(x-y)(x-y)(x-y)(x-y)(x-y)
=(x²+2xy+y²)(x-y)(x-y)(x-y)
=(x³+3x²y+3xy²+y³)(x-y)(x-y)
=(x^4+4x³y+6x²y²+4xy³+y^4)(x-y)
=x^5+5x^4y+10x³y²+10x²y³+xy^4+y^5