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david2154

13.09.2022

Mathematics

$$\frac{4}{x(x+2)}=\frac{4}{x^2+2x}$

Solution:

Given expression:

$$\frac{4}{x(x+2)}$

To simplify the given rational expression:

$$\frac{4}{x(x+2)}$

Using exponent rule: $a^m\cdot a^n = a^{m+n}$

$$\frac{4}{x(x+2)}=\frac{4}{x^{1+1}+2x}$

$$=\frac{4}{x^2+2x}$

Hence the rational expression is simplified.

$$\frac{4}{x(x+2)}=\frac{4}{x^2+2x}$

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Two unique sets of data are represented by either circles or squares on the graph below.