Factoriser 9-(x-2)^(2)

Question

`factoriser 9-(x-2)^(2)`

Answer 1

Answer: (5-x)(1+x)

Work Shown:

`9 - (\text{x}-2)^2\\\\3^2 - (\text{x}-2)^2\\\\(3 - (\text{x}-2))(3 + (\text{x}-2))\\\\(3 - \text{x}+2)(3 + \text{x}-2)\\\\(5 - \text{x})(1 + \text{x})\\\\`

On the 3rd step, I used the difference of squares rule
`a^2-b^2 = (a-b)(a+b)`