因式分解 (1)4x^4y^2-96x^2y^2-100y^2(2)a^4b^4c^4-6a^2b^2c^4+5c^4(3)4p^6+28p^3-32最好用十字相乘法

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因式分解 (1)4x^4y^2-96x^2y^2-100y^2(2)a^4b^4c^4-6a^2b^2c^4+5c^4(3)4p^6+28p^3-32最好用十字相乘法

因式分解 (1)4x^4y^2-96x^2y^2-100y^2(2)a^4b^4c^4-6a^2b^2c^4+5c^4(3)4p^6+28p^3-32最好用十字相乘法
因式分解
(1)4x^4y^2-96x^2y^2-100y^2
(2)a^4b^4c^4-6a^2b^2c^4+5c^4
(3)4p^6+28p^3-32
最好用十字相乘法

因式分解 (1)4x^4y^2-96x^2y^2-100y^2(2)a^4b^4c^4-6a^2b^2c^4+5c^4(3)4p^6+28p^3-32最好用十字相乘法
答案在图里

(1)4x^4y^2-96x^2y^2-100y^2
=y^2(4x^4-96x^2-100)
=y^2(4x^2-100)(x^2+1)
=4y^2(x^2-25)(x^2+1)
=4y^2(x-5)(x+5)(x^2+1)
(2)a^4b^4c^4-6a^2b^2c^4+5c^4
=c^4(a^2b^2-5)(a^2b^2-1)

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(1)4x^4y^2-96x^2y^2-100y^2
=y^2(4x^4-96x^2-100)
=y^2(4x^2-100)(x^2+1)
=4y^2(x^2-25)(x^2+1)
=4y^2(x-5)(x+5)(x^2+1)
(2)a^4b^4c^4-6a^2b^2c^4+5c^4
=c^4(a^2b^2-5)(a^2b^2-1)
=c^4(ab-√5)(ab+√5)(ab+1)(ab-1)
(3)4p^6+28p^3-32
=(4p^3+32)(p^3-1)
=4(p^3+8)(p^3-1)
=4(p+2)(p^2-2p+4)(p-1)(p^2+p+1)

收起

如下图。

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