分解因式(m²-4m)²+8(m²-4m)+16

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分解因式(m²-4m)²+8(m²-4m)+16
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分解因式(m²-4m)²+8(m²-4m)+16
分解因式(m²-4m)²+8(m²-4m)+16

分解因式(m²-4m)²+8(m²-4m)+16
(m²-4m)²+8(m²-4m)+16
=[(m²-4m)+4]²
=(m²-4m+4)²
=[(m-2)²]²
=(m-2)的4次方

(m²-4m)²+8(m²-4m)+16
=(m²-4m+4)²
=[(m-2)²]²
=(m-2)^4

(m²-4m)²+8(m²-4m)+16
=(m^2-4m+4)^2
=(m-2)^4

原式=(m^2-4m+4)^2
=(m-2)^4