Answer:
The simplified result is: [tex]\frac{5a^3}{3}[/tex]
Step-by-step explanation:
[tex]a^2.\frac{a^{3}+a^2b }{5a}.\frac{25}{3b+3a}[/tex]
We need to solve the above equation.
We take a^2 common from a^3+a^2b
and we take 3 common from 3b+3a
Solving,
[tex]a^2\:\frac{a^2\left(a+b\right)\:}{5a}\frac{25}{3\left(b+a\right)}[/tex]
Since a+b = b+a we can cancel them with each other.
[tex]=a^2\:\frac{a^2}{5a}\frac{25}{3}\\=a^2\:\frac{a^2}{a}\frac{5}{3}\\=a^2\:a\:\frac{5}{3}\\=\frac{5a^3}{3}[/tex]
So, The simplified result is: [tex]\frac{5a^3}{3}[/tex]
