Question

Please help me with this quickly, make it easy and simple, I have a plane trip tomorrow and I still have a lot of questions.

Answer 1

Simplify:

`(3x^2-4x)/(12x)\cdot(6x^2)/(5)`

The simplification will be done by finding common factors in the numerators and denominators of both rational expressions,

We can see the factor 6x on both sides, so we rewrite it as:

`(3x^2-4x)/(2(6x))\cdot((6x)x)/(5)`

Now we can simplify both common factors:

`(3x^2-4x)/(2)\cdot(x)/(5)`

This is pretty much the simplification. We now join all numerators and denominators in simple expressions like:

`((3x^2-4x)x)/(2\cdot5)=(3x^3-4x^2)/(10)`