因式分解下列各數,THX
(a) 6xm+2ym-3xm-yn
(b)7a-7b
(c)-4x+32y
(d)-3a-6b-15c
(e)2x-6bx+2ax
(f)x(a-5)-y(5-a)
(g)(2+a)(a+b)-4a(a+b)
(h)-p(r-s)-5(s-r)
回答 (1)
✔ 最佳答案
a)6xm+2ym-3xn-yn
=2m(3x+y)-n(3x+y)
=(2m-n)(3x+y)
b)7a-7b
=7(a-b)
c)-4x+32y
=-4(x-8y)
d)-3a-6b-15c
=-3(a+2b+5c)
e)2x-6bx+2ax
=2x(1-3b+a)
f)x(a-5)-y(5-a)
=x(a-5)+y(a-5)
=(x+y)(a-5)
g)(2+a)(a+b)-4a(a+b)
=(a+b)(2+a-4a)
=(a+b)(-3a+2)
=-(a+b)(3a-2)
h)-p(r-s)-5(s-r)
=p(s-r)-5(s-r)
=(p-5)(s-r)
參考: My Maths Knowledge
收錄日期: 2021-04-13 13:58:35
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