Maths 因式分解

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)