What is g/(g^2+4g)-g/((g+4)^2) ?

The solution to g/(g^2+4g)-g/((g+4)^2) is 4/((g+4)^2)

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simplify g/(g^2+4g)-g/((g+4)^2)

simplify

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

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

Solution steps

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

Cancel

\frac{g}{g ^{2} + 4 g} : \frac{1}{g + 4}

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

Simplify

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

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

(5 a^{2} - 9 a + 7) + (5 a - 15 a^{2} + 11) + (- 13 - 17 a^{2} + 4 a)

(- 3 x^{2} - x - 10) + (10 x^{2} + x - 10)

\frac{8}{- 8}

36 x^{2} - 72 x + 81

\frac{7}{4 x - 1} - \frac{5}{4 x - 1}

What is g/(g^2+4g)-g/((g+4)^2) ?
The solution to g/(g^2+4g)-g/((g+4)^2) is 4/((g+4)^2)