Question

the area of the largest square in the figure is $(m + n)^{2}$. use this figure to write the area of the largest square as the sum of the areas of the smaller squares and rectangles. the area is $square$ (simplify your answer.)

Explanation:

Step1: Expand \((m + n)^2\)

Using the formula \((a + b)^2=a^{2}+2ab + b^{2}\), where \(a = m\) and \(b=n\), we have \((m + n)^2=m^{2}+2mn + n^{2}\).

Answer:

\(m^{2}+2mn + n^{2}\)