Problem

Question 2
of 8 Step 1 of 1

Multiply and simplify the following radical expressions. Assume all variables are positive.
\[
(2 \sqrt{y}+4)(\sqrt{y}-5)
\]

Answer 2 Points

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Answer

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Answer

Final Answer: \(\boxed{-6\sqrt{y} + 2y - 20}\)

Steps

Step 1 :Multiply each term in the first expression by each term in the second expression using the distributive property: \((2 \sqrt{y}+4)(\sqrt{y}-5)\)

Step 2 :Simplify the resulting expression by combining like terms and simplifying any radical expressions: \(-6\sqrt{y} + 2y - 20\)

Step 3 :Final Answer: \(\boxed{-6\sqrt{y} + 2y - 20}\)

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