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# Equivalent Expressions

SATSTM-NLCFE6

Which one of the following is equivalent to the expression $5\sqrt{xy}+25\sqrt{x}$?

A

$5{x}^{\frac{1}{2}}({y}^{\frac{1}{2}}+5)$

B

$5xy+25x$

C

$5(xy)^{-2}+25{x}^{-2}$

D

$\sqrt{x}(25{y}^{\frac{1}{2}}+5)$

E

$25{x}^{\frac{1}{2}}(\sqrt{y}+5)$