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

$x\times x=x^2$

Step2: Multiply the Outers

$x\times-2=-2x$

Step3: Multiply the Inners

$-2\times x=-2x$

Step4: Multiply the Lasts

$-2\times-2=4$

Step 4: Combine the terms

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

Option C is correct