化简 (x+1)^2*(x-1)^2*(x^+1)^2

问题描述:

化简 (x+1)^2*(x-1)^2*(x^+1)^2

(x+1)²(x-1)²(x²+1)²
=[(x+1)(x-1)(x²+1)]²
=[(x²-1)(x²+1)]²
=(x的4次方-1)²
=x的8次方-2x的4次方+1

=[(x+1)(x-1)]²*(x²+1)²
=(x²-1)²*(x²+1)²
=[(x²-1)*(x²+1)]²
=(x^4-1)²

(x+1)^2*(x-1)^2*(x^2+1)^2
=(x^2-1)^2 *(x^2+1)^2
=(x^4-1)^2

(x+1)^2*(x-1)^2*(x^+1)^2
=(x^-1)^2*(x^+1)^2
=(x^4-1)^2