Question

What is the quotient in simplified form? State any restrictions on the variable.

Answer 1

`( x^(2) -16)/( x^(2) +5x+6): (x)/(y) ( x^(2) +5x+4)/( x^(2) -2x-8)= \\ = ((x+4)(x-4))/((x+2)(x+3))* ((x-4)(x+2))/((x+4)(x+1))=`
= ( x - 4 )² / ( x + 3 ) ( x + 1 ), restrictions: x ≠ - 3, x ≠ - 1;
Answer: A )