What is expand (-10h-h^2)/(25(5+h)^2) ?

The solution to expand (-10h-h^2)/(25(5+h)^2) is (-10h-h^2)/(625+250h+25h^2)

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expand (-10h-h^2)/(25(5+h)^2)

expand

\frac{- 10 h - h ^{2}}{25 ( 5 + h ) ^{2}}

\frac{- 10 h - h ^{2}}{625 + 250 h + 25 h ^{2}}

Solution steps

\frac{- 10 h - h ^{2}}{25 ( 5 + h ) ^{2}}

(5 + h)^{2} = 25 + 10 h + h^{2}

= \frac{- 10 h - h ^{2}}{25 ( h ^{2} + 10 h + 25 )}

Expand

25 (25 + 10 h + h^{2}) : 625 + 250 h + 25 h^{2}

= \frac{- 10 h - h ^{2}}{625 + 250 h + 25 h ^{2}}

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What is expand (-10h-h^2)/(25(5+h)^2) ?
The solution to expand (-10h-h^2)/(25(5+h)^2) is (-10h-h^2)/(625+250h+25h^2)