How do you simplify 5/(x+3) - 2/(x-1)?

2 Answers
Mar 24, 2018

(3x-11)/((x+3)(x-1))
Where x!=-3 or 1

Explanation:

(3x-11)/((x+3)(x-1))
Where x!=-3 or 1
The reason x can't be -3 or 1 is because if this happens the denominator will become 0 and anything with denominator 0 becomes undefined.
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Mar 24, 2018

The given question states :
5/(x+3)-2/(x-1)

So, processing further:
rArr(5 xx( x-1)-2 xx( x+3))/((x+3) xx (x-1)

rArr((5x-5 )-(2x+6))/((x+3) ( x-1)

rArr(5x-5-2x-6)/((x+3)(x-1)

rArr(5x-2x -5-6)/((x+3)(x-1)

rArr(3x-11) /((x+3) (x-1))

rArr(3x-11) /(x^2-x+3x-3)

rArr(3x-11) /(x^2+2x-3)

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