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Chapter 5: Problem 47

Find each product. $$(x y-3)^{2}$$

Short Answer

Expert verified
The simplified version of the given expression is \(x^2 y^2 - 6xy + 9\)

Step by step solution

01

Understand and write down the given expression

The expression given is \( (x y - 3)^2 \). This basically means \( (x y - 3) \times (x y - 3) \).
02

Apply the formula

We take the formula \((a-b)^2\), which is \(a^2 - 2ab + b^2\), in our case, \(a\) is \(xy\) and \(b\) is 3.
03

Substitute the values in the formula and solve

Substitute the values \(a\) and \(b\) in the formula, and it becomes \((xy)^2 - 2*(xy)*3 + 3^2\)
04

Calculate and get the simplified version

On doing the mentioned operations, the simplified expression will be \(x^2y^2 - 6xy + 9\)

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