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Chapter 5: Problem 31

Find each product. $$9 x y(5 x+2 y)$$

Short Answer

Expert verified
The product of the given algebraic expression is \(45x^2y + 18xy^2\)

Step by step solution

01

Distribute \(9xy\) inside the parenthesis

Multiply \(9xy\) to each of the terms inside parenthesis. \(9xy * 5x\) and \(9xy * 2y\).
02

Calculate the product of the first terms

First, calculate the product of \(9xy\) and \(5x\) which gives: \(45x^2y\)
03

Calculate the product of the second terms

Then, calculate the product of \(9xy\) and \(2y\) which gives: \(18xy^2\)
04

Write the final answer

Write down both these results from step 2 and step 3 together to get the final answer.

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