十道公式法数学题
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十道公式法数学题
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![十道公式法数学题](/uploads/image/z/2810069-53-9.jpg?t=%E5%8D%81%E9%81%93%E5%85%AC%E5%BC%8F%E6%B3%95%E6%95%B0%E5%AD%A6%E9%A2%98+%26nbsp%3B)
/> 25/81-0.01x^2=(5/9+0.1x)(5/9-0.1x)
3x^3-3x=3x(x^2-1)=3x(x+1)(x-1)
m^4-16n^4=(m^2+4n^2)(m^2-4n^2)=(m^2+4n^2)(m-2n)(m+2n)
5ab^3-20a^3b=5ab(b^2-4a^2)=5ab(b+2a)(b-2a)
-4a^4+36a^2b^2=-4a^2(a^2-9b^2)=-4a^2(a-3b)(a+3b)
(a+2b)^2-(a-2b)^2=(a+2b-a+2b)(a+2b+a-2b)=8ab
(2x-3y)^2-4x^2=(2x-3y-2x)(2x-3y+2x)=-3y(4x-3y)
3x^3-3x=3x(x^2-1)=3x(x+1)(x-1)
m^4-16n^4=(m^2+4n^2)(m^2-4n^2)=(m^2+4n^2)(m-2n)(m+2n)
5ab^3-20a^3b=5ab(b^2-4a^2)=5ab(b+2a)(b-2a)
-4a^4+36a^2b^2=-4a^2(a^2-9b^2)=-4a^2(a-3b)(a+3b)
(a+2b)^2-(a-2b)^2=(a+2b-a+2b)(a+2b+a-2b)=8ab
(2x-3y)^2-4x^2=(2x-3y-2x)(2x-3y+2x)=-3y(4x-3y)