因式分解:a³+2a²b-ab²-2b³=
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因式分解:a³+2a²b-ab²-2b³=
因式分解:a³+2a²b-ab²-2b³=
因式分解:a³+2a²b-ab²-2b³=
a³+2a²b-ab²-2b³
=(a³+2a²b)-(ab²+2b³)
=a²(a+2b)-b²(a+2b)
=(a+2b)(a²-b²)
=(a+2b)(a+b)(a-b)
a³+2a²b-ab²-2b³
=a³-ab² +2a²b -2b³
=a(a²-b²) + 2b(a²-b²)
=(a+2b) (a²-b²)
= (a+2b) (a+b)(a-b)
a³+2a²b-ab²-2b³
=a²(a+2b)-b²(a+2b)
=(a+2b)(a²-b²)
=(a+2b)(a+b)(a-b)
f(a,b) = a³+2a²b-ab²-2b³
f(a,a) =0 => (a-b) is factor
f(a, -a) = 0 =>(a+b) is factor
f(a,b) = a³+2a²b-ab²-2b³
= (a-b)(a+b)(a+2b)