Simplify. x-2/(x^2+4x-12)

1 answer:

5 0

Simplifying the above expression we shall proceed as follows:
<span>x-2/(x^2+4x-12)
factoring out the denominator we get:
</span>x^2+4x-12
=x^2-2x+6x-12
=x(x-2)+6(x-2)
=(x+6)(x-2)
thus our expression will be:
(x-2)/[(x+6)(x-2)]
simplifying the above we get:
1/(x+6)

Answer: 1/(x+6)

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