If $$y = 5{\text{,}}$$   then what is the value of $$10y\sqrt {{y^3} - {y^2}} $$   = ?

A. $$50\sqrt 2 $$

B. 100

C. $$200\sqrt 5 $$

D. 500

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & = 10y\sqrt {{y^3} - {y^2}} \cr & = 10 \times 5\sqrt {{5^3} - {5^2}} \cr & = 50 \times \sqrt {125 - 25} \cr & = 50 \times \sqrt {100} \cr & = 50 \times 10 \cr & = 500 \cr} $$