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Chapter 0: Problem 45

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

Short Answer

Expert verified
The product of the expression \((x-3)^2\) is \(x^2 - 6x + 9\).

Step by step solution

01

Write down the expression

The given expression, \((x-3)^2\) is equivalent to \((x-3)*(x-3)\). Write it down as it is.
02

Apply the distributive property

Multiply each term in the first binomial by each term in the second binomial. This results in: \(x*x + x*(-3) + (-3)*x + (-3)*(-3)\).
03

Simplify the Expression

Now perform the actual multiplication of the terms and simplify the result. We get \(x^2 - 3x - 3x + 9\).
04

Combine Like Terms

Next, combine like terms. This will lead to the final result of: \(x^2 - 6x + 9\).

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