X+1的三次方减去X-1的三次方,用立方差和差的立方两种分解,急!!!!!

2025-04-25 05:35:50
推荐回答(2个)
回答1:

a3-b3=(a-b)(a2+ab+b2)
a3+b3=(a+b)(a2-ab+b2)

回答2:

a³-b³=(a-b)(a²+ab+b²)
a³+b³=(a+b)(a²-ab+b²)

(X+1)³-(X-1)³
=(x+1-x+1)[(x+1)²-(x+1)(x-1)+(x-1)²]
=2[(x²+2x+1)-(x²-1)+(x²-2x+1)]
=2[x²+2x+1-x²+1+x²-2x+1]
=2[x²+3]
=2x²+6