Question

!HELP!

I need to write an expression for the shaded region in its simplest form, showing all of my steps!

But it's late at night and I'm not entirely sure how to do this, so thank you so much in advance!!!​

Answer 1

x² + 23x + 49

Explanation:

Area of the big rectangle

= (x + 10)(2x + 5)

= 2x² + 5x + 20x + 50

= 2x² + 25x + 50

Area of the small white rectangle

= (x + 1)(x + 1)

= x² + x + x + 1

= x² + 2x + 1

Area of the shaded area

= (2x² + 25x + 50) - (x² + 2x + 1)

= 2x² + 25x + 50 - x² - 2x - 1

= x² + 23x + 49