what is 4-a/5 divided by a^2-16/3?

2009-03-01 7:13 am
simplify

回答 (4)

2009-03-01 7:38 am
✔ 最佳答案
what is 4-a/5 divided by a^2-16/3

..4-a
..-----
....5...........15
=-------- x ------------
..a^2-16......15
-------------
....3

..-3(a-4)
=---------------
..5(a+4)(a-4)

....-3
=----------- answer//
...5(a+4)
2009-03-01 5:34 pm
(4 - a)/5 ÷ (a^2 - 16)/3
= -(-4 + a)/5 * 3/(a^2 - 4^2)
= -(a - 4)/5 * 3/[(a + 4)(a - 4)]
= -1/5 * 3/(a + 4)
= -3/[5(a + 4)]
2009-03-01 3:26 pm
(4 – a)/5 ÷ (a² – 16)/3
= (4 – a)/5 ÷ (a + 4)(a – 4)/3
= –(a – 4)/5 ÷ (a + 4)(a – 4)/3
= –(a – 4)/5 × 3/(a + 4)(a – 4)
= –1/5 × 3/(a + 4)
= –3/5(a + 4)
--------
2009-03-01 3:23 pm
-3/5(a+4)


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