Using the results of a(Y+4)(Y+9),factorize (2x^2-9x)^2+13(2x^2-9x)+36.
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form 3 fatorization 因式分解 問題
2012-09-06 2:40 am
回答 (1)
2012-09-06 2:58 am
✔ 最佳答案
(y+ 4)(y + 9)= y(y + 9) + 4(y + 9)
= y² + 9y + 4y + 36
= y² + 13y + 36
Hence, y² + 13y + 36 = (y + 4)(y + 9)
Put y = 2x² - 9y
Then,
(2x² - 9x)² + 13(2x² - 9y) + 36
= y² + 13y + 36
= (y + 4)(y + 9)
= (2x² + 9x + 4)(2x² + 9x + 9)
= (x + 4)(2x + 1)(x + 3)(2x + 3)
參考: 賣女孩的火柴
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120905000051KK00482