观察下列一组等式(a+1)(a^2-a+1)=a^3+1

2025-01-04 01:25:54
推荐回答(1个)
回答1:

(x-3)(x^2+3x+9)=x³-27
(2x+1)( 4x²-2x+1 )=8x^3+1
( x-y )(x^2+xy+y^2)=x^3-y^3

(a²-b²)(a²+ab+b²)(a²-ab+b²)

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