(x^2+3x-4)(x^2-x-6)+24因式分解

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(x^2+3x-4)(x^2-x-6)+24因式分解
(x^2+3x-4)(x^2-x-6)+24因式分解

(x^2+3x-4)(x^2-x-6)+24因式分解
(x^2+3x-4)(x^2-x-6)+24
=(x＋4)(x－1)(x－3)(x＋2)＋24
=[(x＋4)(x－3)][(x－1)(x＋2)]＋24
=(x²＋x－12)(x²＋x－2)＋24
=(x²＋x)²－14(x²＋x)＋48(把x²＋x看成一个整体再用十字相乘)
=(x²＋x－6)(x²＋x－8)
=(x＋3)(x－2)(x²＋x－8)

x^2+3x-4)(x^2-x-6)+24
=(x＋4)(x－1)(x－3)(x＋2)＋24
=[(x＋4)(x－3)][(x－1)(x＋2)]＋24
=(x²＋x－12)(x²＋x－2)＋24
=(x²＋x)²－14(x²＋x)＋48(把x²＋x看成一个整体再用十字相乘)
=(x²＋x－6)(x²＋x－8)
=(x＋3)(x－2)(x²＋x－8)

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