Question

Find the area of the shaded figure. To do​ so, subtract the area of the smaller square from the area of the larger square.

Large square side length: (x squared plus 10)
Small square side length: x

Image included.
What is the area of the shaded region?

Answer 1

$\bf \stackrel{\textit{area of the large square}}{(x^2+10)(x^2+10)}~~~-~~~\stackrel{\textit{area of the small square}}{(x)(x)} \\\\\\ x^4+10x^2+10x^2+100~~~-~~~x^2\implies x^4+20x^2+100-x^2 \\\\\\ x^4+19x^2+100$