[tex]$\frac{4}{x(x+2)}=\frac{4}{x^2+2x}[/tex]
Solution:
Given expression:
[tex]$\frac{4}{x(x+2)}[/tex]
To simplify the given rational expression:
Using exponent rule: [tex]a^m\cdot a^n = a^{m+n}[/tex]
[tex]$\frac{4}{x(x+2)}=\frac{4}{x^{1+1}+2x}[/tex]
[tex]$=\frac{4}{x^2+2x}[/tex]
Hence the rational expression is simplified.
