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Question
If $$y = 5{\text{,}}$$   then what is the value of $$10y\sqrt {{y^3} - {y^2}} $$   = ?
Options:
A .  $$50\sqrt 2 $$
B .  100
C .  $$200\sqrt 5 $$
D .  500
Answer: Option D
$$\eqalign{
& = 10y\sqrt {{y^3} - {y^2}} \cr
& = 10 \times 5\sqrt {{5^3} - {5^2}} \cr
& = 50 \times \sqrt {125 - 25} \cr
& = 50 \times \sqrt {100} \cr
& = 50 \times 10 \cr
& = 500 \cr} $$

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