Question

rewrite \\(\frac{x + 3}{\left((x + 3)^2\
ight)}\\) in lowest terms. \\(\frac{(x - 1)(x + 3)}{(x + 3)^2(x - 2)}\\)

Explanation:

Step1: Simplify the first fraction

Cancel common factor $x+3$:
$\frac{x+3}{(x+3)^2} = \frac{1}{x+3}$ (where $x
eq -3$)

Step2: Simplify the second fraction

Cancel common factor $x+3$:
$\frac{(x-1)(x+3)}{(x+3)^2(x-2)} = \frac{x-1}{(x+3)(x-2)}$ (where $x
eq -3, 2$)

Answer:

First simplified fraction: $\boldsymbol{\frac{1}{x+3}}$
Second simplified fraction: $\boldsymbol{\frac{x-1}{(x+3)(x-2)}}$