Divide and simplify x216x9x4x3 Box 1 Enter your answer as an

Divide and simplify: x^2-16/x^-9/x-4/x-3 Box 1: Enter your answer as an expression. Example: 3x^2+l, x/5, (a+b)/c Be sure your variables match those in the question

Solution

(x^2 -16)/(x-9) / (x-4)/(x-3)

Numerator :(x^2 -16)/(x^-9) = (x -4)(x +4) /(x-3)(x+3)

Denominator : (x-4)/(x-3)

(x^2 -16)/(x-9) / (x-4)/(x-3) = (x -4)(x +4) / (x-3)(x+3) / ( x-4)/(x-3)

= {( x-4)(x+4)/(x-3)(x+3)} * (x-3)/(x-4)

= (x+4)/(x+3)