Question

What is the following sum: 3y(3√xy^2 + 5(3√xy^5))?

a) 0
b) 3√xy^2 + 15√xy^5
c) 3√xy^2 + 3√xy^5
d) 9√xy^7

Answer 1

After distributing 3y across both terms inside the parentheses, the sum is 9√xy^3 + 15√xy^6, which does not match any of the provided answer choices, indicating there may be an error in the question or answer choices.

Step-by-step explanation:

The given sum is 3y(3√xy^2 + 5(3√xy^5)). We need to distribute the term 3y across the terms inside the parentheses. Applying the distributive property:

• Multiply 3y by 3√xy^2 to get 9√xy^3.
• Multiply 3y by 5(3√xy^5) to get 15√xy^6.

Adding the resulting terms together, we have 9√xy^3 + 15√xy^6. However, this expression does not match any of the answer choices provided. It seems there might be a mistake in the question or the answer choices as none of the options correspond to our resultant expression.