(x的1/2次方+x的1/4次方+1)(x的1/2次方-x的1/4次方+1)(x-x的1/2次方+1)
=[(x的1/2次方+1)+x的1/4次方] [(x的1/2次方+1)-x的1/4次方] (x-x的1/2次方+1)
=[(x的1/2次方+1)²-(x的1/4次方)²] (x-x的1/2次方+1)
=[(x的1/2次方)²+2×x的1/2次方×1+1²-(x的2×1/4次方)] (x-x的1/2次方+1)
=(x+2x的1/2次方+1-x的1/2次方)(x-x的1/2次方+1)
=(x+x的1/2次方+1)(x-x的1/2次方+1)
=[(x+1)+x的1/2次方] [(x+1)-x的1/2次方]
=(x+1)²-(x的1/2次方)²
=x²+2x+1-x
=x²+x+1