Question

How do you divide `(x-4)/(2x^2)-:(2x+3)/(x+4)`?

Answer 1

`((x-4)(x+4))/(2x^2(2x+3)`

Explanation:

Treat algebraic fractions the same as arithmetic ones!

`(x-4)/(2x^2)color(red)(-:(2x+3)/(x+4))`

`(x-4)/(2x^2)color(red)(xx(x+4)/(2x+3))`

`((x-4)(x+4))/(2x^2(2x+3)`

This does not simplify further and It is probably better left in factor form, rather than as

`(x^2-16)/(4x^3+6x^2`