观察下列一组等式(a+1)(a^2-a+1)=a^3+12.观察下列一组等式 (a-1)(a^2-a+1)=a^3+1(a-2)(a^2+2a+4)=a^3-8(a+3)(a^2-3a+9)=a^3+271.以上这些等式中.你有何发现?利用你的发现填写下面的括号.1.(x-3)(x^2+3x+9)= 2.(2x+1)(
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![观察下列一组等式(a+1)(a^2-a+1)=a^3+12.观察下列一组等式 (a-1)(a^2-a+1)=a^3+1(a-2)(a^2+2a+4)=a^3-8(a+3)(a^2-3a+9)=a^3+271.以上这些等式中.你有何发现?利用你的发现填写下面的括号.1.(x-3)(x^2+3x+9)= 2.(2x+1)(](/uploads/image/z/7583870-38-0.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E4%B8%80%E7%BB%84%E7%AD%89%E5%BC%8F%28a%2B1%29%28a%5E2-a%2B1%29%3Da%5E3%2B12%EF%BC%8E%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E4%B8%80%E7%BB%84%E7%AD%89%E5%BC%8F+%28a-1%29%28a%5E2-a%2B1%29%3Da%5E3%2B1%28a-2%29%28a%5E2%2B2a%2B4%29%3Da%5E3-8%28a%2B3%29%28a%5E2-3a%2B9%29%3Da%5E3%2B271.%E4%BB%A5%E4%B8%8A%E8%BF%99%E4%BA%9B%E7%AD%89%E5%BC%8F%E4%B8%AD%EF%BC%8E%E4%BD%A0%E6%9C%89%E4%BD%95%E5%8F%91%E7%8E%B0%3F%E5%88%A9%E7%94%A8%E4%BD%A0%E7%9A%84%E5%8F%91%E7%8E%B0%E5%A1%AB%E5%86%99%E4%B8%8B%E9%9D%A2%E7%9A%84%E6%8B%AC%E5%8F%B7%EF%BC%8E1%EF%BC%8E%28x-3%29%28x%5E2%2B3x%2B9%29%3D+2.%282x%2B1%29%28)
观察下列一组等式(a+1)(a^2-a+1)=a^3+12.观察下列一组等式 (a-1)(a^2-a+1)=a^3+1(a-2)(a^2+2a+4)=a^3-8(a+3)(a^2-3a+9)=a^3+271.以上这些等式中.你有何发现?利用你的发现填写下面的括号.1.(x-3)(x^2+3x+9)= 2.(2x+1)(
观察下列一组等式(a+1)(a^2-a+1)=a^3+1
2.观察下列一组等式
(a-1)(a^2-a+1)=a^3+1
(a-2)(a^2+2a+4)=a^3-8
(a+3)(a^2-3a+9)=a^3+27
1.以上这些等式中.你有何发现?利用你的发现填写下面的括号.
1.(x-3)(x^2+3x+9)=
2.(2x+1)( )=8x^3+1
3.( )(x^2+xy+y^2)=x^3-y^3
2.计算(a^2-b^2)(a^2+ab+b^2)(a^2-ab+b^2).
观察下列一组等式(a+1)(a^2-a+1)=a^3+12.观察下列一组等式 (a-1)(a^2-a+1)=a^3+1(a-2)(a^2+2a+4)=a^3-8(a+3)(a^2-3a+9)=a^3+271.以上这些等式中.你有何发现?利用你的发现填写下面的括号.1.(x-3)(x^2+3x+9)= 2.(2x+1)(
(x-3)(x^2+3x+9)=x³-27
(2x+1)( 4x²-2x+1 )=8x^3+1
( x-y )(x^2+xy+y^2)=x^3-y^3
(a²-b²)(a²+ab+b²)(a²-ab+b²)
=(a+b)(a-b)(a²+ab+b²)(a²-ab+b²)
=(a+b)(a²-ab+b²)[(a-b)(a²+ab+b²)]
=(a³+b³)(a³-b³)