SOLUTION: express the following rational expression in simplest form: 9 - x^2 ___________ ___ 10x^2 - 28x

SOLUTION: express the following rational expression in simplest form: 9 - x^2 _________ _ 10x^2 - 28x - 6

Question 20701: express the following rational expression in simplest form:
9 - x^2
_______________
10x^2 - 28x - 6
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
numerator, can be thought of as , which is difference of 2 squares. This factorises into (3-x)(3+x)

denominator, can be simplified into . This can then be factorised, by thinking about it a little as 2(5x+1)(x-3)

So we have,

This can be simplified further by realising that (3-x) is really just -(x-3).. this sort of thing is very useful to remember in manipulation of algebra terms.

So, which then simplifies to

cheers
Jon.
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SOLUTION: express the following rational expression in simplest form: 9 - x^2 ___________ ___ 10x^2 - 28x - 6

SOLUTION: express the following rational expression in simplest form: 9 - x^2 _________ _ 10x^2 - 28x - 6