QuestionExpand. If necessary, combine like terms. $(x-2)^{2}=$ $\square$

Studdy Solution

STEP 1

1. We are asked to expand the expression $(x-2)^2$ .
2. The expression is a binomial squared, which can be expanded using the binomial theorem or by direct multiplication.

STEP 2

1. Apply the binomial expansion formula to $(x-2)^2$ .
2. Simplify and combine like terms if necessary.

STEP 3

Apply the binomial expansion formula $(a-b)^2 = a^2 - 2ab + b^2$ to the expression $(x-2)^2$ .
Here, $a = x$ and $b = 2$ .
$(x-2)^2 = x^2 - 2 \cdot x \cdot 2 + 2^2$

STEP 4

Simplify the expression by performing the multiplications and combining like terms:
$x^2 - 4x + 4$
The expanded form of the expression is:
$\boxed{x^2 - 4x + 4}$

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