Question

2 simplify an expression for the area of the square. x - 10 r. 4x - 40 s. x² - 100 t. x² - 20x + 100 u. x² - 20x - 100

Explanation:

Step1: Recall the area formula for a square

The area \( A \) of a square with side length \( s \) is given by \( A = s^2 \). Here, the side length of the square is \( x - 10 \), so we need to square this expression: \( A=(x - 10)^2 \).

Step2: Expand the square using the formula \((a - b)^2=a^2-2ab + b^2\)

For \( (x - 10)^2 \), let \( a = x \) and \( b = 10 \). Then,
\[

$$\begin{align*} (x - 10)^2&=x^2-2\times x\times10 + 10^2\\ &=x^2-20x + 100 \end{align*}$$

\]

Answer:

T. \( x^2 - 20x + 100 \)