Question

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

Answer 1

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