因式分解4m^4-1/2m因式分解4m^4-1/2m2a+16ab^2化简(a-b+4)(a^2-2ab+b^2-4a+4b+16)

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因式分解4m^4-1/2m因式分解4m^4-1/2m2a+16ab^2化简(a-b+4)(a^2-2ab+b^2-4a+4b+16)
因式分解4m^4-1/2m
因式分解
4m^4-1/2m
2a+16ab^2
化简(a-b+4)(a^2-2ab+b^2-4a+4b+16)

因式分解4m^4-1/2m因式分解4m^4-1/2m2a+16ab^2化简(a-b+4)(a^2-2ab+b^2-4a+4b+16)
4m^4-1/2m
=1/2m(8m³-1)
=1/2m(2m-1)(4m²+2m+1)
2a+16ab^2
=2a(1+8b²)
(a-b+4)(a^2-2ab+b^2-4a+4b+16)
=[(a-b)+4][(a-b)²-4(a-b)+4²]
=(a-b)³+4³
=a³-3a²b+3ab²-b³+64