ANSWER
A. y√y
EXPLANATION
The given expression is:
[tex] \sqrt{ {y}^{3} } + \sqrt{16 {y}^{3} } - 4y \sqrt{y} [/tex]
We factor the perfect square in the first two terms to obtain;
[tex] \sqrt{ {y}^{2} \times y} + \sqrt{ {(4y)}^{2} \times y } - 4y \sqrt{y} [/tex]
This simplifies to:
[tex]y\sqrt{y } + 4y \sqrt{y } - 4y \sqrt{y} [/tex]
We simplify to get;
[tex]y\sqrt{y } + 0 = y \sqrt{y} [/tex]
The correct choice is A.
