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Chapter 5: Problem 40

Find each product. $$(x+9 y)(6 x+7 y)$$

Short Answer

Expert verified
Therefore, the product of \((x+9 y)(6 x+7 y)\) is \(6x^2+61xy+63y^2\).

Step by step solution

01

Distribute first term in the first bracket

Multiply the first term of the first bracket, which is \(x\), with each term of the second bracket to get: \(x \cdot 6x = 6x^2\) and \(x \cdot 7y = 7xy\).
02

Distribute second term in the first bracket

Multiply the second term of the first bracket, which is \(9y\), with each term of the second bracket to get: \(9y \cdot 6x = 54xy\) and \(9y \cdot 7y = 63y^2\).
03

Combine like terms

There are two terms which are like terms: \(7xy\) and \(54xy\). Combine these to obtain \(7xy + 54xy = 61xy\).

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