Question

How do you simplify `(x²-7x+6)/ (x²-1) div(2x²-12x)/(x+1)`?

Answer 1

`1/(2x)`

Explanation:

Start off with a question involving algebraic fractions by factoring wherever possible.

`(x²-7x+6)/ (x²-1) div(2x²-12x)/(x+1) " change " div" to "xx " by reciprocal"`

`((x-6)(x-1))/((x+1)(x-1)) xx ((x+1))/(2x(x-6))`

`(cancel((x-6))cancel((x-1)))/(cancel(x+1)cancel(x-1)) xx (cancel(x+1))/(2xcancel((x-6)))" cancel like factors"`

=`1/(2x)`