Question

Find the factors of (x-5)^2-4=0 A. (X-5)(X-5)=0B.(X-7)(X+8)C.(X-3)(X-7)D.(X-5)(X+5)

Answer 1

First, let's expand the expression and reduce like terms:

`\begin{gathered} (x-5)^2-4=0 \\ \rightarrow x^2-10x+25-4=0 \\ \rightarrow x^2-10x+21=0 \end{gathered}`

Now, let's factor the new expression completely:

`(x-3)(x-7)=0`

Thereby, the correct answer is option C