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Chapter 5: Problem 44

Find each product. $$(7 x y+1)(2 x y-3)$$

Short Answer

Expert verified
The product of the binomials \(7xy+1\) and \(2xy-3\) is \(14x^2y^2 - 19xy - 3\).

Step by step solution

01

Distribute the first term of the first binomial

Distribute \(7xy\) to both \(2xy\) and \(-3\) to get \(14x^2y^2 - 21xy\).
02

Distribute the second term of the first binomial

Distribute \(1\) from the first binomial to both \(2xy\) and \(-3\) in the second binomial, resulting in \(2xy - 3\).
03

Combine terms

Combine the results from step 1 and step 2 to get the final result: \(14x^2y^2 - 21xy + 2xy - 3\).
04

Simplify the expression

Simplify the expression by combining the like terms. The term \(-21xy\) and \(2xy\) are like terms so combine them to get the final result: \(14x^2y^2 - 19xy - 3\).

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Most popular questions from this chapter

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