Question

Simplify the expression. State any restrictions on the variable. x^2+6x+8/x^2-10x-24

Answer 1

x^2 +6x +8 = (x+2)(x+4)
x^2-10x-24 = (x+2)(x-12)

x^2+6x+8/x^2-10x-24
=(x+2)(x+4) / (x+2)(x-12)
=(x+4)/(x-12)

(x-12)=0
x=12
denominator cannot be zero
so
x cannot be 12