Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Answer 1

Answer:

x^2 +23x +49

Step-by-step explanation:

Find the area of the large rectangle

(x+10) * (2x+5)

FOIL

2x^2 +5x+20x+50 = 2x^2 +25x +50

Find  the area of the unshaded square

(x+1) (x+1)

FOIL

x^2 +x+x+1 = x^2 +2x+1

To find the area of the shaded region

Take the area of the large rectangle and subtract the area of the square

2x^2 +25x +50 - (x^2 +2x+1)

Distribute the minus sign

2x^2 +25x +50 - x^2 -2x-1

Combine like terms

x^2 +23x +49