数学运用公式法分解因式
-(a+1)²+9(a-2)²,8a-4a²-4,(m+n)²-4(m-n)²,(m²-2mn+n²...
-(a+1)²+9(a-2)²,8a-4a²-4,(m+n)²-4(m-n)²,(m²-2mn+n²)-1
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-(a+1)²+9(a-2)²
=[3(a-2)]²-(a-1)²
=[3(a-2)+(a-1)][3(a-2)-(a-1)]
=(4a-7)(2a-5)
8a-4a²-4
=-4(a²-2a+1)
=-4(a-1)²
(m+n)²-4(m-n)²
=(m+n)²-[2(m-n)]²
=[(m+n)+2(m-n)][(m+n)-2(m-n)]
=(3m-n)(3n-m)
(m²-2mn+n²)-1
=(m-n)²-1²
=(m-n+1)(m-n-1)
【很高兴为你解决以上问题,希望对你的学习有所帮助!】≤、≥ ∠
=[3(a-2)]²-(a-1)²
=[3(a-2)+(a-1)][3(a-2)-(a-1)]
=(4a-7)(2a-5)
8a-4a²-4
=-4(a²-2a+1)
=-4(a-1)²
(m+n)²-4(m-n)²
=(m+n)²-[2(m-n)]²
=[(m+n)+2(m-n)][(m+n)-2(m-n)]
=(3m-n)(3n-m)
(m²-2mn+n²)-1
=(m-n)²-1²
=(m-n+1)(m-n-1)
【很高兴为你解决以上问题,希望对你的学习有所帮助!】≤、≥ ∠
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