因式分解x^3+3a^2-4是a³+3a²-4

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因式分解x^3+3a^2-4是a³+3a²-4
因式分解x^3+3a^2-4
是a³+3a²-4

因式分解x^3+3a^2-4是a³+3a²-4
是a³+3a²-4
=(a³-1)+3(a²-1)
=(a-1)(a²+a+1)+3(a-1)(a+1)
=(a-1)(a²+a+1+3a+3)
=(a-1)(a²+4a+4)
=(a-1)(a+2)²

a^3+2a^2+a^2-4
=a^2*(a+2)+(a+2)(a-2)
=(a+2)(a^2+a-2)
=(a+2)[(a+2)(a-1)]
=(a+2)^2*(a-1)

a³+3a²-4
=(a³-1)+3(a²-1)
=(a-1)(a²+a+1)+3(a-1)(a+1)
=(a-1)(a²+a+1+3a+3)
=(a-1)(a²+4a+4)
=(a-1)(a+2)²