Question

How to reduce this rational expression into its lowest form. (by using step by step method) 3x^2y+6xy^2÷x^2+2xy​

Answer 1

Step-by-step explanation:

(1) Factor out the common term 3 x y.

$\implies \tt\[ \dfrac{3 x y(x+2 y)}{x^{2}+2 x y} \]$

(2) Factor out the common term x.

$\tt \implies\[ \dfrac{3 x y \cancel{(x+2 y)}}{x \cancel{(x+2 y)}} \]$

(3) Cancel x+2 y .

$\tt \implies\[ \dfrac{3 \cancel x y}{ \cancel{x}} \]$

(4) Cancel x .

$\boxed{ \red{ \tt\implies \: 3y}}$