Solve the following problem posted Give details on solution

Solve the following problem posted. Give details on solution steps.

Give advice on how to solve the kind of problem posted below by a classmate (procedure to follow, useful tips to remember, etc.

Divide as indicated (polynomial expression)

X2 – 16/8x-8 ÷ X2 + 8x + 16/x2 + 3x - 4

(x^2 – 16)/(8x-8) ÷ (x^2 + 8x + 16)/(x^2 + 3x - 4)

Simplity by factorisation : (x^2 – 16)/(8x-8) = (x+4)(x-4)/8(x-1)

Simplity by factorisation : (x^2 + 8x + 16)/(x^2 + 3x - 4)

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

= (x +4)(x+4)/(x+4)(x -1)

=(x+4)/(x-1)

Now divide the simplied expressions: (x+4)(x-4)/8(x-1) ÷ (x +4)/(x -1)

=(x+4)(x-4)/8(x-1) * (x-1)/(x+4)

= (x+4)(x-4)(x-1)/8(x-1)(x+4)

=(x-4)/8