Question

Question 4 Which expression is equivalent to (x – 2)2 ? Оа x² - 4 Ob x + 4x - 4 x² - 4x + 4 x² + 4

Answer 1

The scope of the question is to expand the expression

`(x-2)^2`

This expression

`\begin{gathered} (x-2)^2\text{ means} \\ (x-2)(x-2) \end{gathered}`

Method: We will use the FOIL method to expand the expansion

FOIL means First, Outer, Inner and Last

Step1: Multiply the Firsts

`x* x=x^2`

Step2: Multiply the Outers

`x*-2=-2x`

Step3: Multiply the Inners

`-2* x=-2x`

Step4: Multiply the Lasts

`-2*-2=4`

Step 4: Combine the terms

`\begin{gathered} x^2-2x-2x+4 \\ \Rightarrow x^2-4x+4 \end{gathered}`

Option C is correct