Question

Simplify each expression and state any non-permissible values. (4 marks - show your work)

4x-1/x^2+7x+12 divided by 2x-1/x^2+x-12

My work on simplifying the expressions:
4x-1/(x+3)(x+4)divided by 2x-1/(x+4)(x-3)

If I've gone wrong please help me understand where I went wrong and help me get the correct answer.
Sincerely, yours
Alex Hunter

Answer 1

(4x-1)/[(x+3)(x+4)] * (x+4)(x-3)/(2x-1)

when you divide fractions, invert the denominator and multiply

(x+4) cancels

(4x-1)(x-3) /[ (x+3)(2x-1)]