Answer:
[tex] \frac{4}{(g + 4) ^{2} }[/tex]
Step-by-step explanation:
- Factor the expressions that are not already factored in g/g² + 4g.
[tex] \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } [/tex]
- Cancel out g in both numerator and denominator.
[tex] \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } [/tex]
- To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.
[tex] \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } [/tex]
- Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.
[tex] \frac{g + 4 - g}{(g + 4) ^{2} } [/tex]
- Combine like terms in g+4−g.
[tex] \frac{4}{(g + 4) ^{2} } [/tex]
[tex] \frac{4}{g^{2} + 8g + 16 } [/tex]
Hope It's Help
