Maths 因式分解
a) 21ax - 12ay + 18az
b) 6x^3 - 9xy + 12x
c) y^3 - y^2
d) -3x^2 - 3xy
e) (x+y)a + (x+y)b
f) (x-y)m + (y-x)n
g) a^2 - b^2
h) a^2 - 100
i) 4x^2 - 9
j) 25x^2 - 36y^2
回答 (1)
✔ 最佳答案
a) 21ax - 12ay + 18az
=3a(7x-4y+6z)
b) 6x3 - 9xy + 12x
=3x(x2-3y+4)
c) y3 - y2
=y2(y-1)
d) -3x2 - 3xy
=-3x(x+y)
e) (x+y)a + (x+y)b
=(x+y)(a+b)
f) (x-y)m + (y-x)n
=(x-y)m - (x-y)n
=(x-y)(m-n)
g) a2 - b2
=(a-b)(a+b)
h) a2 - 100
=a2-102
=(a-10)(a+10)
i) 4x2 - 9
=(2x) 2-32
=(2x-3)(2x+3)
j) 25x2 - 36y2
=(5x) 2 - (6y) 2
=(5x-6y)(5x+6y)
收錄日期: 2021-04-23 20:41:13
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