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Lesson: 9.4b Multiplication with Radicals
Question 3 of 7, Step 1 of 1
$2 / 7$
Correct
Multiply and simplify the following radical expressions. Assume all variables are positive.
$(3 \sqrt{y} + \sqrt{x}) (2 \sqrt{y} - \sqrt{x})$

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Final Answer: $- \sqrt{x} \sqrt{y} - x + 6 y$ .

Steps

Step 1 ：Given the expression $(3 \sqrt{y} + \sqrt{x}) (2 \sqrt{y} - \sqrt{x})$ .

Step 2 ：Apply the distributive property of multiplication over addition, which states that for all real numbers a, b, and c, the equation a * (b + c) = a * b + a * c.

Step 3 ：Distribute each term in the first parentheses to each term in the second parentheses.

Step 4 ：The resulting expression is $- \sqrt{x} \sqrt{y} - x + 6 y$ .

Step 5 ：The simplified form of the expression is $- \sqrt{x} \sqrt{y} - x + 6 y$ .

Step 6 ：Final Answer: $- \sqrt{x} \sqrt{y} - x + 6 y$ .

← Save \& Exit CertifyLesson: 9.4b Multiplication with RadicalsQuestion 3 of 7, Step 1 of 12/7CorrectMultiply and simplify the following radical expressions. Assume all variables are positive.(3y+x)(2y−x)

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$\leftarrow$ Save \& Exit Certify
Lesson: 9.4b Multiplication with Radicals
Question 3 of 7, Step 1 of 1
$2 / 7$
Correct
Multiply and simplify the following radical expressions. Assume all variables are positive.
$(3 \sqrt{y} + \sqrt{x}) (2 \sqrt{y} - \sqrt{x})$