In terms of x, find an expression that represents the area of the shaded region. the outer square has side lengths of (x+5) and the inner square has side lengths of (x-2), as shown. (look at the attached image and fill in the empty boxes, ! also if you could explain in a very dumb way how you did it, that'd be great.) (reposted bc i seriously need this answered.)

(x+5) - (x-2)

Do this..

But by the way, you don't have the image.

= (x+5)² = x² + 10x + 25

= (x-2)² = x² - 4x + 4

= (x² + 10x + 25) - (x² - 4x + 4)

 = x² + 10x + 25 - x² + 4x - 4

 = 14x + 21  square units

X²-10x-10

Step-by-step explanation:

(x+5)(x-2)    Solve by factoring the polynomial

X²-10x-10    Solve and simplify

Step-by-step explanation:

The formula of an area of a square with side length a:

The big square:

Substitute:

          use  

The small square:

Substitute:

      use  

The area of a shaded region:

Substitute:

combine like terms