因式分解(x²-9)(x-1)+(x-3)(x²+3x+6)?

2015-11-05 12:37 pm

回答 (2)

2015-11-05 1:18 pm
✔ 最佳答案
(x-3)(x+3)(x-1)+(x-3)(x²+3x+6)
= (x-3)(x²+2x-3)+(x-3)(x²+3x+6)
= (x-3)(2x²+5x+3)
= (x-3)(2x+3)(x+1)

這是作業嗎@@,錯了不負責喔~
參考: 我算的
2015-11-05 12:42 pm
Sol
(x^2-9)(x-1)+(x-3)(x^2+3x+6)
=(x-3)[(x+3)(x-1)+(x^2+3x+6)]
=(x-3)(x^2+2x-3+x^2+3x+6)
=(x-3)(2x^2+5x+3)
=(x-3)(2x+1)(x+1)


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