Question

G/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =? Simplify.

Answer 1

Answer:

$\frac{4}{(g + 4) ^{2} }$

Step-by-step explanation:

• Factor the expressions that are not already factored in g/g² + 4g.

$\frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} }$

• Cancel out g in both numerator and denominator.

$\frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} }$

• 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.

$\frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} }$

• Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.

$\frac{g + 4 - g}{(g + 4) ^{2} }$

• Combine like terms in g+4−g.

$\frac{4}{(g + 4) ^{2} }$

• Expand (g + 4)².

$\frac{4}{g^{2} + 8g + 16 }$

Hope It's Help