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Chapter 5: Problem 32

Find each product. $$7 x y(8 x+3 y)$$

Short Answer

Expert verified
The product of the given equation is \(56x^2y + 21xy^2\).

Step by step solution

01

Identify terms for distribution

First, we identify the terms for distribution. In this equation, \(7xy\) needs to be distributed to each term inside the parenthesis. The terms inside the parenthesis are \(8x\) and \(3y\).
02

Apply Distributive Property

Next, we apply the distributive property. This means we multiply \(7xy\) with \(8x\) and then \(7xy\) with \(3y\). Doing so gives us \(56x^2y\) and \(21xy^2\) respectively.
03

Combine like terms

Finally, we combine like terms. In this equation, there are no like terms to combine. So the final answer remains as a sum of both terms.

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