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因式分解一堆1.a^4+a^2b^2+b^42.x^4-11x^2+13.x^4-4x+34.a^4+2a^3b+3a^2b^2+2ab^3+b^45.a^2+2ab-ac-3b^3+5bc-2c^2

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答案和解析
1.a^4+a^2b^2+b^4=(a^2)^2+2a^2b^2+(b^2)^2-a^2b^2=(a^2+b^2)^2-a^2b^2=(a^2+b^2)^2-(ab)^2=(a^2+b^2+ab)(a^2+b^2-ab) 2.x^4-11x^2+1 =x^2(x^2-11+1/x^2) =x^2*[(x-1/x)^2-9] =x^2(x-1/x+3)(x-1/x-3) =(x^2+3x-1)(x...