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3 votes
(x+4)/(x^2-5x+6) / (x^2-16)/(x+3)

2 Answers

7 votes

Answer:

0.004.

Explanation:

Assuming "x" is 2,

First we work out (x+4) --> (2+4) = (8)

Next we work out (x^2-5x+6) --> ([2^2]-[5x2]+6) = (20)

Next we work out (x^2-16) --> ([2^2] - 16) = (20)

And finally we work out (x+3) --> (2+3) = (5)

Then the final calculation, assuming that the "/" is a dividing symbol, we do:

(8 / 20 / 20 / 5)

So lets do this in parts...

8 / 20 = 0.4

0.4 / 20 = 0.02

0.02 / 5 = 0.004.

So the final answer is 0.004.

I hope this helps somehow.

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User Xandrefreire
by
5.1k points
3 votes

Answer:

(x+3)/(x-2)(x-3(x-4).

Explanation:

(x+4)/(x^2-5x+6) / (x^2-16)/(x+3)

= (x+4)/(x^2-5x+6) * (x+3)(x^2 -16)

= (x+4)/(x-2)(x-3) * (x+3)/(x-4)(x+4)

(x+3)(x+4)

= --------------

(x-2)(x-3)(x-4)(x+4)

The (x+4)'s cancel out so we have:

(x+3)/(x-2)(x-3(x-4))

User Josh Crozier
by
4.5k points