x^2-2x-3 / x^2+5x+4

(x^{2}-2x-3) /( x^{2}+5x+4)= ((x^{2}-3x+x-3)/ ( x^{2}+4x+x+4)

=[x(x-3)+1(x-3)][x(x+4)+1(x+4)]

=[(x-3)(x+1)]/[(x+4)(x+1)]

The expression is undefined for x=-4 and x=-1

If x not equal to -1 then this becomes (x-3)/(x+4)

This is not valid for x= -4

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