(x^2+5x)^2-2(x^2+5x)-24 因式分解不好意思,突然忘了,麻烦大家.谢谢!

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(x^2+5x)^2-2(x^2+5x)-24 因式分解不好意思,突然忘了,麻烦大家.谢谢!
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(x^2+5x)^2-2(x^2+5x)-24 因式分解不好意思,突然忘了,麻烦大家.谢谢!
(x^2+5x)^2-2(x^2+5x)-24 因式分解
不好意思,突然忘了,麻烦大家.谢谢!

(x^2+5x)^2-2(x^2+5x)-24 因式分解不好意思,突然忘了,麻烦大家.谢谢!
将(x²+5x)看作一个整体分解即可

令a=x^2+5x
所以(x^2+5x)^2-2(x^2+5x)-24
=a^2-2a-24
=(a-6)(a+4)
=(x^2+5x-6)(x^2+5x+4)
=(x-1)(x+6)(x+1)(x+4)

(x^2+5x)^2-2(x^2+5x)-24
=[(x^2+5x)-6][(x^2+5x)+4]
=(x^2+5x-6)(x^2+5x+4)
=(x+6)(x-1)(x+1)(x+4)

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