(1-x)^2(1x)^4展开
(1-x)²(1+x)^4
=[(1-x)(1+x)]²(1+x)²
=(1-x²)²(1+x)²
=(1-2x²+x^4)(1+2x+x²)
=1+2x-x²-4x³-x^4+2x^5+x^6
【附】
1+2+1
1+0 -2+0+1(×
——————
1+2+1
-2-4 -2
1+2+1(+
——————————
1+2 -1-4 -1+2+1
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(1-x)²(1+x)^4
=[(1-x)(1+x)]²(1+x)²
=(1-x²)²(1+x)²
=(1-2x²+x^4)(1+2x+x²)
=1+2x-x²-4x³-x^4+2x^5+x^6
【附】
1+2+1
1+0 -2+0+1(×
——————
1+2+1
-2-4 -2
1+2+1(+
——————————
1+2 -1-4 -1+2+1