Question

select the expression that is equivalent to $(x - 3)^2$. \
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\\(\bigcirc\\) a. $x^2 - 6x + 9$ \
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\\(\bigcirc\\) b. $x^2 - 3x + 6$ \
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\\(\bigcirc\\) c. $x^2 - 6x + 6$ \
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\\(\bigcirc\\) d. $x^2 - 3x + 9$

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = x\) and \(b = 3\).

Step2: Apply the formula

Substitute \(a = x\) and \(b = 3\) into the formula:
\((x - 3)^2 = x^2 - 2\times x\times3 + 3^2\)

Step3: Simplify the expression

Simplify each term: \(x^2 - 6x + 9\)

Answer:

A. \(x^2 - 6x + 9\)