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12-06-2017
Mathematics

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Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.

Simplify the rational expression Find all numbers that must be excluded from the domain of the simplified rational expression class=

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12-06-2017

N/D =(x²+4x+4)/(x² - 4)

N= x²+4x+4 = (x+2)²
D = x²-4 =(x-2)(x+2)

N/D = (x+2)²/(x-2)(x+2); simplify by (x+2)

N/D = (x+2)/(x-2)

Domain of x ={x∈R≠3} ; in short x =( -2) should be excluded

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