计算(x+y)(x²+y²)(x-y)(x的4次方+y的4次方),(a-1)(-a-1)

计算(x+y)(x²+y²)(x-y)(x的4次方+y的4次方),(a-1)(-a-1)
计算(x+y)(x²+y²)(x-y)(x的4次方+y的4次方),(a-1)(-a-1)

计算(x+y)(x²+y²)(x-y)(x的4次方+y的4次方),(a-1)(-a-1)
原式=(x²-y²)(x²+y²)(x^4+y^4)
=(x^4-y^4)(x^4+y^4)
=x^8-y^8
原式=(-1+a)(-1-a)
=(-1)²-a²
=1-a²

(x+y)(x²+y²)(x-y)(x的4次方+y的4次方)
=（x²-y²)((x²+y²)( x的4次方+y的4次方)
=(x的4次方-y的4次方)(x的4次方+y的4次方)
=x的8次方-y的8次方
(a-1)(-a-1)
=(-1+a)(-1-a)
=1-a²