a立方+a平方-2 因式分解

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a立方+a平方-2 因式分解

立方差公式应该没过,那么可以这样分解因式:
a³+a²-2
=a³-a²+2a²-2
=(a³-a²)+(2a²-2)
=a²(a-1)+2(a²-1)
=a²(a-1)+2(a+1)(a-1)
=(a-1)(a²+2a+2)

原式
=(a-1)(a^2+2a-2)

原式=(a³-1)+(a²-1)
=(a-1)(a²+a+1)+(a-1)(a+1)
=(a-1)(a²+2a+2)

(a平方-1)+(a平方-1)=(a-1)(a+1)+(a-1)(a+1)=2(a-1)(a+1)

a^3+a^2-2
=a^3+a^2-1-1
=(a^3-1)+(a^2-1)
=(a-1)(a^2+a+1)+(a-1)(a+1)
=(a-1)(a^2+a+1+a+1)
=(a-1)(a^2+2a+2)