Question

I need some math help PLEASE!!!

Answer 1

\[\frac{ a ^{2}+5a+4 }{ a ^{3}}\div \frac{ a ^{2}+3a+2 }{a ^{2}-2a }\]
=\[\frac{ a ^{2}+5a+4 }{a ^{3} }\times \frac{ a ^{2}-2a }{ a ^{2}+3a+2 }\]
\[\frac{ a ^{2}+4a+1a+4 }{ a ^{3} }\times \frac{ a \left( a-2 \right) }{ a ^{2}+2a+1a+2}\]
\[=\frac{ a \left( a+4 \right)+1\left( a+4 \right) }{ a ^{3} }\times \frac{ a \left( a-2 \right) }{a \left( a+2 \right)+1\left( a+2 \right) } \]
\[=\frac{ \left( a+4 \right)\left( a+1 \right) }{ a ^{3} }\times \frac{a \left( a-2 \right) }{\left( a+2\right)\left( a+1 \right) }\]
\[=\frac{ \left( a+4 \right)\left( a-2 \right) }{ a ^{2}\left( a+2 \right) }\]