國中因式分解 如圖?
回答 (2)
2015-10-04 7:53 am
✔ 最佳答案
原式=(x+2)(x+3)(x+8)(x+12)−4x^2
=(x^2+14x+24)(x^2+11x+24)−4x^2
=[(x^2+24)+14x][(x^2+24)+11x]−4x^2
=(x^2+24)^2+25x(x^2+24)+150x^2
=[(x^2+24)+10x][(x^2+24)+15x]
=(x+4)(x+6)(x^2+15x+24)
2015-10-04 10:38 am
(x^2 +5x+6)(x^2 +20x+96)-4x^2
=(x+2)(x+3)(x+8)(x+12)−4x^2
=(x^2+14x+24)(x^2+11x+24)−4x^2
=[(x^2+24)+14x][(x^2+24)+11x]−4x^2
=(x^2+24)^2+25x(x^2+24)+150x^2
=[(x^2+24)+10x][(x^2+24)+15x]
=(x+4)(x+6)(x^2+15x+24)
=(x+2)(x+3)(x+8)(x+12)−4x^2
=(x^2+14x+24)(x^2+11x+24)−4x^2
=[(x^2+24)+14x][(x^2+24)+11x]−4x^2
=(x^2+24)^2+25x(x^2+24)+150x^2
=[(x^2+24)+10x][(x^2+24)+15x]
=(x+4)(x+6)(x^2+15x+24)
收錄日期: 2021-04-18 00:21:20
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20151003230200AAJvis8