✔ 最佳答案
你好~~~
有關 My hobby 的問題,可以參考以下這則知識+的︰
http://hk.knowledge.yahoo.com/question/question?qid=7009081501490
1) a^2 + 2a - 25
上面這道題目應該不是 - 25,是 - 35 才對吧?
a^2 + 2a - 35
= (a - 5)(a + 7)
Hence factorize -4a^2 - 8a + 140.
-4a^2 - 8a + 140
= -4(a^2 + 2a - 35)
= -4(a - 5)(a + 7)
2) b^2 - 10b + 21
= (b - 3)(b - 7)
Hence factorize (m + 1)^2 - 10(m + 1) + 21.
(m + 1)^2 - 10(m + 1) + 21
= (m + 1 - 3)(m + 1 - 7)
= (m - 2)(m - 6)
3) c^2 - 8c - 20
= (c + 2)(c - 10)
Hence factorize y^2(y - 3)^2 - 8y(y - 3) - 20.
y^2(y - 3)^2 - 8y(y - 3) - 20
= [y(y - 3)]^2 - 8[y(y - 3)] - 20
Let y(y - 3) be z.
= z^2 - 8z - 20
= (z + 2)(z - 10)
= [y(y - 3) + 2][y(y - 3) - 10]
= (y^2 - 3y + 2)(y^2 - 3y - 10)
= (y - 1)(y - 2)(y - 5)(y + 2)
希望可以幫到你~~~~~