1. Simplifying Expression

I think I'm over-thinking this problem and I need some help.

4(2x2+y3)(3x2)
6x(x2+y3)(x+y)

How can this be simplified?

2. Re: Simplifying Expression

There is not much that you can do. It is only one x and 6 that gets cancelled from the numerator and denominator.

3. Re: Simplifying Expression

Hello, Gisella!

We can reduce it a little . . .

$\text{Simplify: }\:\frac{4(2x^2+y^3)(3x^2)}{6x(x^2+y^3)(x+y)}$

We have: . $\frac{12x^2(2x^2+y^2)}{6x(x^2+y^3)(x+y)}$

Reduce: . $\frac{{\color{red}\rlap{//}}12\,^2\cdot{\color{green}\rlap{//}} x^2\,^x \cdot (2x^2+y^3)}{{\color{red}\rlap{/}}6\cdot {\color{green}\rlap{/}}x\cdot(x^2+y^3)(x+y)}$

Answer: . $\frac{2x(2x^2+y^3)}{(x^2+y^3)(x+y)}$